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Finding the Fourth Proportional to 1,052.50, 1,452.50 and 586.75

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Solution

The fourth proportional to 1,052.50, 1,452.50 and 586.75 is: 809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.50 : 1,452.50 = 586.75 : x
  2. Step 2: Convert to fraction form
    1,052.50/1,452.50 = 586.75/x
  3. Step 3: Cross multiply
    1,052.50x = 1,452.50 × 586.75
  4. Step 4: Simplify right side
    1,052.50x = 852,254.38
  5. Step 5: Solve for x
    x = 852,254.38/1,052.50
  6. Step 6: Final answer
    x = 809.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.