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Finding the Fourth Proportional to 536.72, 738.16 and 430.56

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Solution

The fourth proportional to 536.72, 738.16 and 430.56 is: 592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 738.16 = 430.56 : x
  2. Step 2: Convert to fraction form
    536.72/738.16 = 430.56/x
  3. Step 3: Cross multiply
    536.72x = 738.16 × 430.56
  4. Step 4: Simplify right side
    536.72x = 317,822.17
  5. Step 5: Solve for x
    x = 317,822.17/536.72
  6. Step 6: Final answer
    x = 592.16

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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.