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Finding the Fourth Proportional to 932.08, 1,284.80 and 744.98

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Solution

The fourth proportional to 932.08, 1,284.80 and 744.98 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.08 : 1,284.80 = 744.98 : x
  2. Step 2: Convert to fraction form
    932.08/1,284.80 = 744.98/x
  3. Step 3: Cross multiply
    932.08x = 1,284.80 × 744.98
  4. Step 4: Simplify right side
    932.08x = 957,150.30
  5. Step 5: Solve for x
    x = 957,150.30/932.08
  6. Step 6: Final answer
    x = 1,026.90

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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.