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Finding the Fourth Proportional to 715.95, 987.78 and 421.29

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Solution

The fourth proportional to 715.95, 987.78 and 421.29 is: 581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.95 : 987.78 = 421.29 : x
  2. Step 2: Convert to fraction form
    715.95/987.78 = 421.29/x
  3. Step 3: Cross multiply
    715.95x = 987.78 × 421.29
  4. Step 4: Simplify right side
    715.95x = 416,141.84
  5. Step 5: Solve for x
    x = 416,141.84/715.95
  6. Step 6: Final answer
    x = 581.24

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