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Finding the Fourth Proportional to 713.13, 1,069.79 and 302.37

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Solution

The fourth proportional to 713.13, 1,069.79 and 302.37 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.13 : 1,069.79 = 302.37 : x
  2. Step 2: Convert to fraction form
    713.13/1,069.79 = 302.37/x
  3. Step 3: Cross multiply
    713.13x = 1,069.79 × 302.37
  4. Step 4: Simplify right side
    713.13x = 323,472.40
  5. Step 5: Solve for x
    x = 323,472.40/713.13
  6. Step 6: Final answer
    x = 453.60

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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.