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Finding the Fourth Proportional to 536.68, 735.56 and 530.52

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Solution

The fourth proportional to 536.68, 735.56 and 530.52 is: 727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.68 : 735.56 = 530.52 : x
  2. Step 2: Convert to fraction form
    536.68/735.56 = 530.52/x
  3. Step 3: Cross multiply
    536.68x = 735.56 × 530.52
  4. Step 4: Simplify right side
    536.68x = 390,229.29
  5. Step 5: Solve for x
    x = 390,229.29/536.68
  6. Step 6: Final answer
    x = 727.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.