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Finding the Fourth Proportional to 925.60, 1,388.40 and 616.45

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Solution

The fourth proportional to 925.60, 1,388.40 and 616.45 is: 924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.60 : 1,388.40 = 616.45 : x
  2. Step 2: Convert to fraction form
    925.60/1,388.40 = 616.45/x
  3. Step 3: Cross multiply
    925.60x = 1,388.40 × 616.45
  4. Step 4: Simplify right side
    925.60x = 855,879.18
  5. Step 5: Solve for x
    x = 855,879.18/925.60
  6. Step 6: Final answer
    x = 924.68

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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.