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Finding the Fourth Proportional to 458.10, 618.98 and 458.10

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Solution

The fourth proportional to 458.10, 618.98 and 458.10 is: 618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 618.98 = 458.10 : x
  2. Step 2: Convert to fraction form
    458.10/618.98 = 458.10/x
  3. Step 3: Cross multiply
    458.10x = 618.98 × 458.10
  4. Step 4: Simplify right side
    458.10x = 283,552.45
  5. Step 5: Solve for x
    x = 283,552.45/458.10
  6. Step 6: Final answer
    x = 618.98

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.