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Finding the Fourth Proportional to 649.93, 970.18 and 601.75

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Solution

The fourth proportional to 649.93, 970.18 and 601.75 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.93 : 970.18 = 601.75 : x
  2. Step 2: Convert to fraction form
    649.93/970.18 = 601.75/x
  3. Step 3: Cross multiply
    649.93x = 970.18 × 601.75
  4. Step 4: Simplify right side
    649.93x = 583,805.82
  5. Step 5: Solve for x
    x = 583,805.82/649.93
  6. Step 6: Final answer
    x = 898.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.