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Finding the Fourth Proportional to 543.29, 748.98 and 386.01

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Solution

The fourth proportional to 543.29, 748.98 and 386.01 is: 532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.29 : 748.98 = 386.01 : x
  2. Step 2: Convert to fraction form
    543.29/748.98 = 386.01/x
  3. Step 3: Cross multiply
    543.29x = 748.98 × 386.01
  4. Step 4: Simplify right side
    543.29x = 289,113.77
  5. Step 5: Solve for x
    x = 289,113.77/543.29
  6. Step 6: Final answer
    x = 532.16

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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.