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Finding the Fourth Proportional to 930.25, 1,284.02 and 557.48

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Solution

The fourth proportional to 930.25, 1,284.02 and 557.48 is: 769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.25 : 1,284.02 = 557.48 : x
  2. Step 2: Convert to fraction form
    930.25/1,284.02 = 557.48/x
  3. Step 3: Cross multiply
    930.25x = 1,284.02 × 557.48
  4. Step 4: Simplify right side
    930.25x = 715,817.98
  5. Step 5: Solve for x
    x = 715,817.98/930.25
  6. Step 6: Final answer
    x = 769.49

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1.5x scale

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.