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Finding the Fourth Proportional to 418.64, 623.75 and 402.93

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Solution

The fourth proportional to 418.64, 623.75 and 402.93 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 623.75 = 402.93 : x
  2. Step 2: Convert to fraction form
    418.64/623.75 = 402.93/x
  3. Step 3: Cross multiply
    418.64x = 623.75 × 402.93
  4. Step 4: Simplify right side
    418.64x = 251,325.57
  5. Step 5: Solve for x
    x = 251,325.57/418.64
  6. Step 6: Final answer
    x = 600.35

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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.