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Finding the Fourth Proportional to 415.77, 620.08 and 402.10

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Solution

The fourth proportional to 415.77, 620.08 and 402.10 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.77 : 620.08 = 402.10 : x
  2. Step 2: Convert to fraction form
    415.77/620.08 = 402.10/x
  3. Step 3: Cross multiply
    415.77x = 620.08 × 402.10
  4. Step 4: Simplify right side
    415.77x = 249,334.17
  5. Step 5: Solve for x
    x = 249,334.17/415.77
  6. Step 6: Final answer
    x = 599.69

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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.