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Finding the Fourth Proportional to 610.16, 918.62 and 419.04

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Solution

The fourth proportional to 610.16, 918.62 and 419.04 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.16 : 918.62 = 419.04 : x
  2. Step 2: Convert to fraction form
    610.16/918.62 = 419.04/x
  3. Step 3: Cross multiply
    610.16x = 918.62 × 419.04
  4. Step 4: Simplify right side
    610.16x = 384,938.52
  5. Step 5: Solve for x
    x = 384,938.52/610.16
  6. Step 6: Final answer
    x = 630.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.