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Finding the Fourth Proportional to 715.77, 1,074.56 and 608.22

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Solution

The fourth proportional to 715.77, 1,074.56 and 608.22 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.77 : 1,074.56 = 608.22 : x
  2. Step 2: Convert to fraction form
    715.77/1,074.56 = 608.22/x
  3. Step 3: Cross multiply
    715.77x = 1,074.56 × 608.22
  4. Step 4: Simplify right side
    715.77x = 653,565.84
  5. Step 5: Solve for x
    x = 653,565.84/715.77
  6. Step 6: Final answer
    x = 913.09

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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.