Home / 1,022.40-1,532.53-474.13

Finding the Fourth Proportional to 1,022.40, 1,532.53 and 474.13

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Solution

The fourth proportional to 1,022.40, 1,532.53 and 474.13 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,532.53 = 474.13 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,532.53 = 474.13/x
  3. Step 3: Cross multiply
    1,022.40x = 1,532.53 × 474.13
  4. Step 4: Simplify right side
    1,022.40x = 726,618.45
  5. Step 5: Solve for x
    x = 726,618.45/1,022.40
  6. Step 6: Final answer
    x = 710.70

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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.