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Finding the Fourth Proportional to 758.18, 1,045.66 and 534.85

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Solution

The fourth proportional to 758.18, 1,045.66 and 534.85 is: 737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.18 : 1,045.66 = 534.85 : x
  2. Step 2: Convert to fraction form
    758.18/1,045.66 = 534.85/x
  3. Step 3: Cross multiply
    758.18x = 1,045.66 × 534.85
  4. Step 4: Simplify right side
    758.18x = 559,271.25
  5. Step 5: Solve for x
    x = 559,271.25/758.18
  6. Step 6: Final answer
    x = 737.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.