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Finding the Fourth Proportional to 788.80, 1,088.52 and 434.72

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Solution

The fourth proportional to 788.80, 1,088.52 and 434.72 is: 599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.80 : 1,088.52 = 434.72 : x
  2. Step 2: Convert to fraction form
    788.80/1,088.52 = 434.72/x
  3. Step 3: Cross multiply
    788.80x = 1,088.52 × 434.72
  4. Step 4: Simplify right side
    788.80x = 473,201.41
  5. Step 5: Solve for x
    x = 473,201.41/788.80
  6. Step 6: Final answer
    x = 599.90

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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.