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Finding the Fourth Proportional to 985.10, 1,478.01 and 436.91

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Solution

The fourth proportional to 985.10, 1,478.01 and 436.91 is: 655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.10 : 1,478.01 = 436.91 : x
  2. Step 2: Convert to fraction form
    985.10/1,478.01 = 436.91/x
  3. Step 3: Cross multiply
    985.10x = 1,478.01 × 436.91
  4. Step 4: Simplify right side
    985.10x = 645,757.35
  5. Step 5: Solve for x
    x = 645,757.35/985.10
  6. Step 6: Final answer
    x = 655.52

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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.