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Finding the Fourth Proportional to 712.01, 1,069.00 and 492.10

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Solution

The fourth proportional to 712.01, 1,069.00 and 492.10 is: 738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.01 : 1,069.00 = 492.10 : x
  2. Step 2: Convert to fraction form
    712.01/1,069.00 = 492.10/x
  3. Step 3: Cross multiply
    712.01x = 1,069.00 × 492.10
  4. Step 4: Simplify right side
    712.01x = 526,051.30
  5. Step 5: Solve for x
    x = 526,051.30/712.01
  6. Step 6: Final answer
    x = 738.82

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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.