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Finding the Fourth Proportional to 1,022.57, 1,534.08 and 292.15

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Solution

The fourth proportional to 1,022.57, 1,534.08 and 292.15 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.57 : 1,534.08 = 292.15 : x
  2. Step 2: Convert to fraction form
    1,022.57/1,534.08 = 292.15/x
  3. Step 3: Cross multiply
    1,022.57x = 1,534.08 × 292.15
  4. Step 4: Simplify right side
    1,022.57x = 448,181.47
  5. Step 5: Solve for x
    x = 448,181.47/1,022.57
  6. Step 6: Final answer
    x = 438.29

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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.