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Finding the Fourth Proportional to 1,042.59, 1,445.35 and 987.11

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Solution

The fourth proportional to 1,042.59, 1,445.35 and 987.11 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.59 : 1,445.35 = 987.11 : x
  2. Step 2: Convert to fraction form
    1,042.59/1,445.35 = 987.11/x
  3. Step 3: Cross multiply
    1,042.59x = 1,445.35 × 987.11
  4. Step 4: Simplify right side
    1,042.59x = 1,426,712.21
  5. Step 5: Solve for x
    x = 1,426,712.21/1,042.59
  6. Step 6: Final answer
    x = 1,368.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.