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Finding the Fourth Proportional to 1,112.64, 1,535.40 and 646.89

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Solution

The fourth proportional to 1,112.64, 1,535.40 and 646.89 is: 892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.64 : 1,535.40 = 646.89 : x
  2. Step 2: Convert to fraction form
    1,112.64/1,535.40 = 646.89/x
  3. Step 3: Cross multiply
    1,112.64x = 1,535.40 × 646.89
  4. Step 4: Simplify right side
    1,112.64x = 993,234.91
  5. Step 5: Solve for x
    x = 993,234.91/1,112.64
  6. Step 6: Final answer
    x = 892.68

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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.