Home / 1,022.40-1,534.10-474.30

Finding the Fourth Proportional to 1,022.40, 1,534.10 and 474.30

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Solution

The fourth proportional to 1,022.40, 1,534.10 and 474.30 is: 711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.40 : 1,534.10 = 474.30 : x
  2. Step 2: Convert to fraction form
    1,022.40/1,534.10 = 474.30/x
  3. Step 3: Cross multiply
    1,022.40x = 1,534.10 × 474.30
  4. Step 4: Simplify right side
    1,022.40x = 727,621.26
  5. Step 5: Solve for x
    x = 727,621.26/1,022.40
  6. Step 6: Final answer
    x = 711.68

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Double scale
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1.5x scale

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.