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Finding the Fourth Proportional to 740.85, 1,116.89 and 701.16

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Solution

The fourth proportional to 740.85, 1,116.89 and 701.16 is: 1,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.85 : 1,116.89 = 701.16 : x
  2. Step 2: Convert to fraction form
    740.85/1,116.89 = 701.16/x
  3. Step 3: Cross multiply
    740.85x = 1,116.89 × 701.16
  4. Step 4: Simplify right side
    740.85x = 783,113.01
  5. Step 5: Solve for x
    x = 783,113.01/740.85
  6. Step 6: Final answer
    x = 1,057.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.