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Finding the Fourth Proportional to 717.59, 1,075.01 and 497.77

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Solution

The fourth proportional to 717.59, 1,075.01 and 497.77 is: 745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.59 : 1,075.01 = 497.77 : x
  2. Step 2: Convert to fraction form
    717.59/1,075.01 = 497.77/x
  3. Step 3: Cross multiply
    717.59x = 1,075.01 × 497.77
  4. Step 4: Simplify right side
    717.59x = 535,102.55
  5. Step 5: Solve for x
    x = 535,102.55/717.59
  6. Step 6: Final answer
    x = 745.69

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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.