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Finding the Fourth Proportional to 415.02, 621.18 and 400.74

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Solution

The fourth proportional to 415.02, 621.18 and 400.74 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 621.18 = 400.74 : x
  2. Step 2: Convert to fraction form
    415.02/621.18 = 400.74/x
  3. Step 3: Cross multiply
    415.02x = 621.18 × 400.74
  4. Step 4: Simplify right side
    415.02x = 248,931.67
  5. Step 5: Solve for x
    x = 248,931.67/415.02
  6. Step 6: Final answer
    x = 599.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.