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Finding the Fourth Proportional to 715.93, 1,074.59 and 346.00

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Solution

The fourth proportional to 715.93, 1,074.59 and 346.00 is: 519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.93 : 1,074.59 = 346.00 : x
  2. Step 2: Convert to fraction form
    715.93/1,074.59 = 346.00/x
  3. Step 3: Cross multiply
    715.93x = 1,074.59 × 346.00
  4. Step 4: Simplify right side
    715.93x = 371,801.04
  5. Step 5: Solve for x
    x = 371,801.04/715.93
  6. Step 6: Final answer
    x = 519.33

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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.