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Finding the Fourth Proportional to 937.60, 1,285.12 and 924.16

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Solution

The fourth proportional to 937.60, 1,285.12 and 924.16 is: 1,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.60 : 1,285.12 = 924.16 : x
  2. Step 2: Convert to fraction form
    937.60/1,285.12 = 924.16/x
  3. Step 3: Cross multiply
    937.60x = 1,285.12 × 924.16
  4. Step 4: Simplify right side
    937.60x = 1,187,656.50
  5. Step 5: Solve for x
    x = 1,187,656.50/937.60
  6. Step 6: Final answer
    x = 1,266.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.