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Finding the Fourth Proportional to 713.91, 1,070.69 and 302.84

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Solution

The fourth proportional to 713.91, 1,070.69 and 302.84 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.91 : 1,070.69 = 302.84 : x
  2. Step 2: Convert to fraction form
    713.91/1,070.69 = 302.84/x
  3. Step 3: Cross multiply
    713.91x = 1,070.69 × 302.84
  4. Step 4: Simplify right side
    713.91x = 324,240.89
  5. Step 5: Solve for x
    x = 324,240.89/713.91
  6. Step 6: Final answer
    x = 454.18

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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.