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Finding the Fourth Proportional to 985.78, 1,478.22 and 400.72

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Solution

The fourth proportional to 985.78, 1,478.22 and 400.72 is: 600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,478.22 = 400.72 : x
  2. Step 2: Convert to fraction form
    985.78/1,478.22 = 400.72/x
  3. Step 3: Cross multiply
    985.78x = 1,478.22 × 400.72
  4. Step 4: Simplify right side
    985.78x = 592,352.32
  5. Step 5: Solve for x
    x = 592,352.32/985.78
  6. Step 6: Final answer
    x = 600.90

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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.