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Finding the Fourth Proportional to 420.48, 626.16 and 410.40

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Solution

The fourth proportional to 420.48, 626.16 and 410.40 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.48 : 626.16 = 410.40 : x
  2. Step 2: Convert to fraction form
    420.48/626.16 = 410.40/x
  3. Step 3: Cross multiply
    420.48x = 626.16 × 410.40
  4. Step 4: Simplify right side
    420.48x = 256,976.06
  5. Step 5: Solve for x
    x = 256,976.06/420.48
  6. Step 6: Final answer
    x = 611.15

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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.