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Finding the Fourth Proportional to 701.85, 1,051.40 and 538.74

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Solution

The fourth proportional to 701.85, 1,051.40 and 538.74 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.85 : 1,051.40 = 538.74 : x
  2. Step 2: Convert to fraction form
    701.85/1,051.40 = 538.74/x
  3. Step 3: Cross multiply
    701.85x = 1,051.40 × 538.74
  4. Step 4: Simplify right side
    701.85x = 566,431.24
  5. Step 5: Solve for x
    x = 566,431.24/701.85
  6. Step 6: Final answer
    x = 807.05

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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.