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Finding the Fourth Proportional to 710.67, 979.59 and 474.15

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Solution

The fourth proportional to 710.67, 979.59 and 474.15 is: 653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.67 : 979.59 = 474.15 : x
  2. Step 2: Convert to fraction form
    710.67/979.59 = 474.15/x
  3. Step 3: Cross multiply
    710.67x = 979.59 × 474.15
  4. Step 4: Simplify right side
    710.67x = 464,478.05
  5. Step 5: Solve for x
    x = 464,478.05/710.67
  6. Step 6: Final answer
    x = 653.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.