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Finding the Fourth Proportional to 903.92, 1,354.56 and 710.96

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Solution

The fourth proportional to 903.92, 1,354.56 and 710.96 is: 1,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.92 : 1,354.56 = 710.96 : x
  2. Step 2: Convert to fraction form
    903.92/1,354.56 = 710.96/x
  3. Step 3: Cross multiply
    903.92x = 1,354.56 × 710.96
  4. Step 4: Simplify right side
    903.92x = 963,037.98
  5. Step 5: Solve for x
    x = 963,037.98/903.92
  6. Step 6: Final answer
    x = 1,065.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.