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Finding the Fourth Proportional to 1,089.23, 1,503.17 and 647.14

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Solution

The fourth proportional to 1,089.23, 1,503.17 and 647.14 is: 893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.23 : 1,503.17 = 647.14 : x
  2. Step 2: Convert to fraction form
    1,089.23/1,503.17 = 647.14/x
  3. Step 3: Cross multiply
    1,089.23x = 1,503.17 × 647.14
  4. Step 4: Simplify right side
    1,089.23x = 972,760.60
  5. Step 5: Solve for x
    x = 972,760.60/1,089.23
  6. Step 6: Final answer
    x = 893.07

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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.