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Finding the Fourth Proportional to 540.92, 746.10 and 424.28

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Solution

The fourth proportional to 540.92, 746.10 and 424.28 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 746.10 = 424.28 : x
  2. Step 2: Convert to fraction form
    540.92/746.10 = 424.28/x
  3. Step 3: Cross multiply
    540.92x = 746.10 × 424.28
  4. Step 4: Simplify right side
    540.92x = 316,555.31
  5. Step 5: Solve for x
    x = 316,555.31/540.92
  6. Step 6: Final answer
    x = 585.22

Related Problems

Find fourth proportional to 270.46, 373.05 and 212.14
Half scale
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Double scale
Find fourth proportional to 541.92, 747.48 and 425.28
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.