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Finding the Fourth Proportional to 956.27, 1,319.54 and 530.90

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Solution

The fourth proportional to 956.27, 1,319.54 and 530.90 is: 732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.27 : 1,319.54 = 530.90 : x
  2. Step 2: Convert to fraction form
    956.27/1,319.54 = 530.90/x
  3. Step 3: Cross multiply
    956.27x = 1,319.54 × 530.90
  4. Step 4: Simplify right side
    956.27x = 700,534.53
  5. Step 5: Solve for x
    x = 700,534.53/956.27
  6. Step 6: Final answer
    x = 732.57

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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.