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Finding the Fourth Proportional to 464.13, 639.77 and 370.71

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Solution

The fourth proportional to 464.13, 639.77 and 370.71 is: 510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 639.77 = 370.71 : x
  2. Step 2: Convert to fraction form
    464.13/639.77 = 370.71/x
  3. Step 3: Cross multiply
    464.13x = 639.77 × 370.71
  4. Step 4: Simplify right side
    464.13x = 237,167.28
  5. Step 5: Solve for x
    x = 237,167.28/464.13
  6. Step 6: Final answer
    x = 510.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.