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Finding the Fourth Proportional to 930.97, 1,284.99 and 532.83

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Solution

The fourth proportional to 930.97, 1,284.99 and 532.83 is: 735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.97 : 1,284.99 = 532.83 : x
  2. Step 2: Convert to fraction form
    930.97/1,284.99 = 532.83/x
  3. Step 3: Cross multiply
    930.97x = 1,284.99 × 532.83
  4. Step 4: Simplify right side
    930.97x = 684,681.22
  5. Step 5: Solve for x
    x = 684,681.22/930.97
  6. Step 6: Final answer
    x = 735.45

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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.