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Finding the Fourth Proportional to 714.31, 1,068.64 and 541.46

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Solution

The fourth proportional to 714.31, 1,068.64 and 541.46 is: 810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 1,068.64 = 541.46 : x
  2. Step 2: Convert to fraction form
    714.31/1,068.64 = 541.46/x
  3. Step 3: Cross multiply
    714.31x = 1,068.64 × 541.46
  4. Step 4: Simplify right side
    714.31x = 578,627.13
  5. Step 5: Solve for x
    x = 578,627.13/714.31
  6. Step 6: Final answer
    x = 810.05

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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.