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Finding the Fourth Proportional to 713.90, 1,068.62 and 541.22

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Solution

The fourth proportional to 713.90, 1,068.62 and 541.22 is: 810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 1,068.62 = 541.22 : x
  2. Step 2: Convert to fraction form
    713.90/1,068.62 = 541.22/x
  3. Step 3: Cross multiply
    713.90x = 1,068.62 × 541.22
  4. Step 4: Simplify right side
    713.90x = 578,350.47
  5. Step 5: Solve for x
    x = 578,350.47/713.90
  6. Step 6: Final answer
    x = 810.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.