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Finding the Fourth Proportional to 495.40, 738.89 and 417.40

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Solution

The fourth proportional to 495.40, 738.89 and 417.40 is: 622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 738.89 = 417.40 : x
  2. Step 2: Convert to fraction form
    495.40/738.89 = 417.40/x
  3. Step 3: Cross multiply
    495.40x = 738.89 × 417.40
  4. Step 4: Simplify right side
    495.40x = 308,412.69
  5. Step 5: Solve for x
    x = 308,412.69/495.40
  6. Step 6: Final answer
    x = 622.55

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1.5x scale

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.