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Finding the Fourth Proportional to 985.72, 1,359.64 and 631.72

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Solution

The fourth proportional to 985.72, 1,359.64 and 631.72 is: 871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,359.64 = 631.72 : x
  2. Step 2: Convert to fraction form
    985.72/1,359.64 = 631.72/x
  3. Step 3: Cross multiply
    985.72x = 1,359.64 × 631.72
  4. Step 4: Simplify right side
    985.72x = 858,911.78
  5. Step 5: Solve for x
    x = 858,911.78/985.72
  6. Step 6: Final answer
    x = 871.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.