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Finding the Fourth Proportional to 717.40, 1,075.86 and 457

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Solution

The fourth proportional to 717.40, 1,075.86 and 457 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.40 : 1,075.86 = 457 : x
  2. Step 2: Convert to fraction form
    717.40/1,075.86 = 457/x
  3. Step 3: Cross multiply
    717.40x = 1,075.86 × 457
  4. Step 4: Simplify right side
    717.40x = 491,668.02
  5. Step 5: Solve for x
    x = 491,668.02/717.40
  6. Step 6: Final answer
    x = 685.35

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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.