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Finding the Fourth Proportional to 962.74, 1,328.15 and 569.53

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Solution

The fourth proportional to 962.74, 1,328.15 and 569.53 is: 785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.74 : 1,328.15 = 569.53 : x
  2. Step 2: Convert to fraction form
    962.74/1,328.15 = 569.53/x
  3. Step 3: Cross multiply
    962.74x = 1,328.15 × 569.53
  4. Step 4: Simplify right side
    962.74x = 756,421.15
  5. Step 5: Solve for x
    x = 756,421.15/962.74
  6. Step 6: Final answer
    x = 785.70

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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.