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Finding the Fourth Proportional to 508.18, 760.64 and 400.18

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Solution

The fourth proportional to 508.18, 760.64 and 400.18 is: 598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 760.64 = 400.18 : x
  2. Step 2: Convert to fraction form
    508.18/760.64 = 400.18/x
  3. Step 3: Cross multiply
    508.18x = 760.64 × 400.18
  4. Step 4: Simplify right side
    508.18x = 304,392.92
  5. Step 5: Solve for x
    x = 304,392.92/508.18
  6. Step 6: Final answer
    x = 598.99

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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.