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Finding the Fourth Proportional to 718.42, 1,075.54 and 458.72

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Solution

The fourth proportional to 718.42, 1,075.54 and 458.72 is: 686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.42 : 1,075.54 = 458.72 : x
  2. Step 2: Convert to fraction form
    718.42/1,075.54 = 458.72/x
  3. Step 3: Cross multiply
    718.42x = 1,075.54 × 458.72
  4. Step 4: Simplify right side
    718.42x = 493,371.71
  5. Step 5: Solve for x
    x = 493,371.71/718.42
  6. Step 6: Final answer
    x = 686.75

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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.