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Finding the Fourth Proportional to 1,032.47, 1,549.23 and 416.19

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Solution

The fourth proportional to 1,032.47, 1,549.23 and 416.19 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.47 : 1,549.23 = 416.19 : x
  2. Step 2: Convert to fraction form
    1,032.47/1,549.23 = 416.19/x
  3. Step 3: Cross multiply
    1,032.47x = 1,549.23 × 416.19
  4. Step 4: Simplify right side
    1,032.47x = 644,769.57
  5. Step 5: Solve for x
    x = 644,769.57/1,032.47
  6. Step 6: Final answer
    x = 624.49

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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.