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Finding the Fourth Proportional to 1,132.77, 1,698.42 and 474.96

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Solution

The fourth proportional to 1,132.77, 1,698.42 and 474.96 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.77 : 1,698.42 = 474.96 : x
  2. Step 2: Convert to fraction form
    1,132.77/1,698.42 = 474.96/x
  3. Step 3: Cross multiply
    1,132.77x = 1,698.42 × 474.96
  4. Step 4: Simplify right side
    1,132.77x = 806,681.56
  5. Step 5: Solve for x
    x = 806,681.56/1,132.77
  6. Step 6: Final answer
    x = 712.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.