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Finding the Fourth Proportional to 713.24, 1,069.48 and 420.83

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Solution

The fourth proportional to 713.24, 1,069.48 and 420.83 is: 631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 1,069.48 = 420.83 : x
  2. Step 2: Convert to fraction form
    713.24/1,069.48 = 420.83/x
  3. Step 3: Cross multiply
    713.24x = 1,069.48 × 420.83
  4. Step 4: Simplify right side
    713.24x = 450,061.82
  5. Step 5: Solve for x
    x = 450,061.82/713.24
  6. Step 6: Final answer
    x = 631.01

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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.