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Finding the Fourth Proportional to 714.40, 1,070.38 and 540.80

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Solution

The fourth proportional to 714.40, 1,070.38 and 540.80 is: 810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.40 : 1,070.38 = 540.80 : x
  2. Step 2: Convert to fraction form
    714.40/1,070.38 = 540.80/x
  3. Step 3: Cross multiply
    714.40x = 1,070.38 × 540.80
  4. Step 4: Simplify right side
    714.40x = 578,861.50
  5. Step 5: Solve for x
    x = 578,861.50/714.40
  6. Step 6: Final answer
    x = 810.28

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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.