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Finding the Fourth Proportional to 715.42, 984.95 and 611.74

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Solution

The fourth proportional to 715.42, 984.95 and 611.74 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.42 : 984.95 = 611.74 : x
  2. Step 2: Convert to fraction form
    715.42/984.95 = 611.74/x
  3. Step 3: Cross multiply
    715.42x = 984.95 × 611.74
  4. Step 4: Simplify right side
    715.42x = 602,533.31
  5. Step 5: Solve for x
    x = 602,533.31/715.42
  6. Step 6: Final answer
    x = 842.21

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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.