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Finding the Fourth Proportional to 1,089.31, 1,503.46 and 647.12

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Solution

The fourth proportional to 1,089.31, 1,503.46 and 647.12 is: 893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.31 : 1,503.46 = 647.12 : x
  2. Step 2: Convert to fraction form
    1,089.31/1,503.46 = 647.12/x
  3. Step 3: Cross multiply
    1,089.31x = 1,503.46 × 647.12
  4. Step 4: Simplify right side
    1,089.31x = 972,920.28
  5. Step 5: Solve for x
    x = 972,920.28/1,089.31
  6. Step 6: Final answer
    x = 893.16

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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.