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Finding the Fourth Proportional to 714.48, 986.76 and 560.40

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Solution

The fourth proportional to 714.48, 986.76 and 560.40 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.48 : 986.76 = 560.40 : x
  2. Step 2: Convert to fraction form
    714.48/986.76 = 560.40/x
  3. Step 3: Cross multiply
    714.48x = 986.76 × 560.40
  4. Step 4: Simplify right side
    714.48x = 552,980.30
  5. Step 5: Solve for x
    x = 552,980.30/714.48
  6. Step 6: Final answer
    x = 773.96

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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.