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Finding the Fourth Proportional to 540.71, 746.07 and 304.67

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Solution

The fourth proportional to 540.71, 746.07 and 304.67 is: 420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.71 : 746.07 = 304.67 : x
  2. Step 2: Convert to fraction form
    540.71/746.07 = 304.67/x
  3. Step 3: Cross multiply
    540.71x = 746.07 × 304.67
  4. Step 4: Simplify right side
    540.71x = 227,301.42
  5. Step 5: Solve for x
    x = 227,301.42/540.71
  6. Step 6: Final answer
    x = 420.38

Related Problems

Find fourth proportional to 270.35, 373.04 and 152.33
Half scale
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Double scale
Find fourth proportional to 541.71, 747.45 and 305.67
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.