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Finding the Fourth Proportional to 1,113.02, 1,536.68 and 714.85

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Solution

The fourth proportional to 1,113.02, 1,536.68 and 714.85 is: 986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.02 : 1,536.68 = 714.85 : x
  2. Step 2: Convert to fraction form
    1,113.02/1,536.68 = 714.85/x
  3. Step 3: Cross multiply
    1,113.02x = 1,536.68 × 714.85
  4. Step 4: Simplify right side
    1,113.02x = 1,098,495.70
  5. Step 5: Solve for x
    x = 1,098,495.70/1,113.02
  6. Step 6: Final answer
    x = 986.95

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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.