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Finding the Fourth Proportional to 758.12, 1,045.36 and 478.01

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Solution

The fourth proportional to 758.12, 1,045.36 and 478.01 is: 659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,045.36 = 478.01 : x
  2. Step 2: Convert to fraction form
    758.12/1,045.36 = 478.01/x
  3. Step 3: Cross multiply
    758.12x = 1,045.36 × 478.01
  4. Step 4: Simplify right side
    758.12x = 499,695.74
  5. Step 5: Solve for x
    x = 499,695.74/758.12
  6. Step 6: Final answer
    x = 659.13

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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.