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Finding the Fourth Proportional to 700.47, 960.95 and 658.59

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Solution

The fourth proportional to 700.47, 960.95 and 658.59 is: 903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.47 : 960.95 = 658.59 : x
  2. Step 2: Convert to fraction form
    700.47/960.95 = 658.59/x
  3. Step 3: Cross multiply
    700.47x = 960.95 × 658.59
  4. Step 4: Simplify right side
    700.47x = 632,870.41
  5. Step 5: Solve for x
    x = 632,870.41/700.47
  6. Step 6: Final answer
    x = 903.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.