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Finding the Fourth Proportional to 540.79, 746.25 and 304.71

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Solution

The fourth proportional to 540.79, 746.25 and 304.71 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.79 : 746.25 = 304.71 : x
  2. Step 2: Convert to fraction form
    540.79/746.25 = 304.71/x
  3. Step 3: Cross multiply
    540.79x = 746.25 × 304.71
  4. Step 4: Simplify right side
    540.79x = 227,387.04
  5. Step 5: Solve for x
    x = 227,387.04/540.79
  6. Step 6: Final answer
    x = 420.47

Related Problems

Find fourth proportional to 270.39, 373.13 and 152.35
Half scale
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Double scale
Find fourth proportional to 541.79, 747.63 and 305.71
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.