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Finding the Fourth Proportional to 712.93, 1,069.39 and 470.53

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Solution

The fourth proportional to 712.93, 1,069.39 and 470.53 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.93 : 1,069.39 = 470.53 : x
  2. Step 2: Convert to fraction form
    712.93/1,069.39 = 470.53/x
  3. Step 3: Cross multiply
    712.93x = 1,069.39 × 470.53
  4. Step 4: Simplify right side
    712.93x = 503,180.08
  5. Step 5: Solve for x
    x = 503,180.08/712.93
  6. Step 6: Final answer
    x = 705.79

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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.