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Finding the Fourth Proportional to 540.77, 746.29 and 319.67

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Solution

The fourth proportional to 540.77, 746.29 and 319.67 is: 441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 746.29 = 319.67 : x
  2. Step 2: Convert to fraction form
    540.77/746.29 = 319.67/x
  3. Step 3: Cross multiply
    540.77x = 746.29 × 319.67
  4. Step 4: Simplify right side
    540.77x = 238,561.99
  5. Step 5: Solve for x
    x = 238,561.99/540.77
  6. Step 6: Final answer
    x = 441.16

Related Problems

Find fourth proportional to 270.38, 373.14 and 159.83
Half scale
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Double scale
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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.