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Finding the Fourth Proportional to 508.93, 761.77 and 400.93

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Solution

The fourth proportional to 508.93, 761.77 and 400.93 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.93 : 761.77 = 400.93 : x
  2. Step 2: Convert to fraction form
    508.93/761.77 = 400.93/x
  3. Step 3: Cross multiply
    508.93x = 761.77 × 400.93
  4. Step 4: Simplify right side
    508.93x = 305,416.45
  5. Step 5: Solve for x
    x = 305,416.45/508.93
  6. Step 6: Final answer
    x = 600.11

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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.