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Finding the Fourth Proportional to 1,132.50, 1,698.60 and 474.51

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Solution

The fourth proportional to 1,132.50, 1,698.60 and 474.51 is: 711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.50 : 1,698.60 = 474.51 : x
  2. Step 2: Convert to fraction form
    1,132.50/1,698.60 = 474.51/x
  3. Step 3: Cross multiply
    1,132.50x = 1,698.60 × 474.51
  4. Step 4: Simplify right side
    1,132.50x = 806,002.69
  5. Step 5: Solve for x
    x = 806,002.69/1,132.50
  6. Step 6: Final answer
    x = 711.70

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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.