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Finding the Fourth Proportional to 930.60, 1,282.50 and 697.32

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Solution

The fourth proportional to 930.60, 1,282.50 and 697.32 is: 961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.60 : 1,282.50 = 697.32 : x
  2. Step 2: Convert to fraction form
    930.60/1,282.50 = 697.32/x
  3. Step 3: Cross multiply
    930.60x = 1,282.50 × 697.32
  4. Step 4: Simplify right side
    930.60x = 894,312.90
  5. Step 5: Solve for x
    x = 894,312.90/930.60
  6. Step 6: Final answer
    x = 961.01

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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.