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Finding the Fourth Proportional to 1,089.42, 1,502.74 and 647.24

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Solution

The fourth proportional to 1,089.42, 1,502.74 and 647.24 is: 892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.42 : 1,502.74 = 647.24 : x
  2. Step 2: Convert to fraction form
    1,089.42/1,502.74 = 647.24/x
  3. Step 3: Cross multiply
    1,089.42x = 1,502.74 × 647.24
  4. Step 4: Simplify right side
    1,089.42x = 972,633.44
  5. Step 5: Solve for x
    x = 972,633.44/1,089.42
  6. Step 6: Final answer
    x = 892.80

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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.