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Finding the Fourth Proportional to 985.89, 1,478.40 and 400.87

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Solution

The fourth proportional to 985.89, 1,478.40 and 400.87 is: 601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.89 : 1,478.40 = 400.87 : x
  2. Step 2: Convert to fraction form
    985.89/1,478.40 = 400.87/x
  3. Step 3: Cross multiply
    985.89x = 1,478.40 × 400.87
  4. Step 4: Simplify right side
    985.89x = 592,646.21
  5. Step 5: Solve for x
    x = 592,646.21/985.89
  6. Step 6: Final answer
    x = 601.13

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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.