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Finding the Fourth Proportional to 788.50, 1,088.19 and 473.78

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Solution

The fourth proportional to 788.50, 1,088.19 and 473.78 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.50 : 1,088.19 = 473.78 : x
  2. Step 2: Convert to fraction form
    788.50/1,088.19 = 473.78/x
  3. Step 3: Cross multiply
    788.50x = 1,088.19 × 473.78
  4. Step 4: Simplify right side
    788.50x = 515,562.66
  5. Step 5: Solve for x
    x = 515,562.66/788.50
  6. Step 6: Final answer
    x = 653.85

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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.