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Finding the Fourth Proportional to 616.49, 923.70 and 433.55

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Solution

The fourth proportional to 616.49, 923.70 and 433.55 is: 649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.49 : 923.70 = 433.55 : x
  2. Step 2: Convert to fraction form
    616.49/923.70 = 433.55/x
  3. Step 3: Cross multiply
    616.49x = 923.70 × 433.55
  4. Step 4: Simplify right side
    616.49x = 400,470.14
  5. Step 5: Solve for x
    x = 400,470.14/616.49
  6. Step 6: Final answer
    x = 649.60

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1.5x scale

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.