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Finding the Fourth Proportional to 713.83, 1,070.32 and 348.25

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Solution

The fourth proportional to 713.83, 1,070.32 and 348.25 is: 522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.83 : 1,070.32 = 348.25 : x
  2. Step 2: Convert to fraction form
    713.83/1,070.32 = 348.25/x
  3. Step 3: Cross multiply
    713.83x = 1,070.32 × 348.25
  4. Step 4: Simplify right side
    713.83x = 372,738.94
  5. Step 5: Solve for x
    x = 372,738.94/713.83
  6. Step 6: Final answer
    x = 522.17

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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.