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Finding the Fourth Proportional to 922.86, 1,385.20 and 678.70

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Solution

The fourth proportional to 922.86, 1,385.20 and 678.70 is: 1,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.86 : 1,385.20 = 678.70 : x
  2. Step 2: Convert to fraction form
    922.86/1,385.20 = 678.70/x
  3. Step 3: Cross multiply
    922.86x = 1,385.20 × 678.70
  4. Step 4: Simplify right side
    922.86x = 940,135.24
  5. Step 5: Solve for x
    x = 940,135.24/922.86
  6. Step 6: Final answer
    x = 1,018.72

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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.