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Finding the Fourth Proportional to 717.84, 1,075.23 and 542.58

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Solution

The fourth proportional to 717.84, 1,075.23 and 542.58 is: 812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.84 : 1,075.23 = 542.58 : x
  2. Step 2: Convert to fraction form
    717.84/1,075.23 = 542.58/x
  3. Step 3: Cross multiply
    717.84x = 1,075.23 × 542.58
  4. Step 4: Simplify right side
    717.84x = 583,392.92
  5. Step 5: Solve for x
    x = 583,392.92/717.84
  6. Step 6: Final answer
    x = 812.71

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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.