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Finding the Fourth Proportional to 1,757, 2,635.16 and 458.40

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Solution

The fourth proportional to 1,757, 2,635.16 and 458.40 is: 687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757 : 2,635.16 = 458.40 : x
  2. Step 2: Convert to fraction form
    1,757/2,635.16 = 458.40/x
  3. Step 3: Cross multiply
    1,757x = 2,635.16 × 458.40
  4. Step 4: Simplify right side
    1,757x = 1,207,957.34
  5. Step 5: Solve for x
    x = 1,207,957.34/1,757
  6. Step 6: Final answer
    x = 687.51

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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.