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Finding the Fourth Proportional to 626.30, 864.34 and 470.78

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Solution

The fourth proportional to 626.30, 864.34 and 470.78 is: 649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.30 : 864.34 = 470.78 : x
  2. Step 2: Convert to fraction form
    626.30/864.34 = 470.78/x
  3. Step 3: Cross multiply
    626.30x = 864.34 × 470.78
  4. Step 4: Simplify right side
    626.30x = 406,913.99
  5. Step 5: Solve for x
    x = 406,913.99/626.30
  6. Step 6: Final answer
    x = 649.71

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1.5x scale

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.