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Finding the Fourth Proportional to 1,089.10, 1,502.90 and 617.02

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Solution

The fourth proportional to 1,089.10, 1,502.90 and 617.02 is: 851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.10 : 1,502.90 = 617.02 : x
  2. Step 2: Convert to fraction form
    1,089.10/1,502.90 = 617.02/x
  3. Step 3: Cross multiply
    1,089.10x = 1,502.90 × 617.02
  4. Step 4: Simplify right side
    1,089.10x = 927,319.36
  5. Step 5: Solve for x
    x = 927,319.36/1,089.10
  6. Step 6: Final answer
    x = 851.45

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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.