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Finding the Fourth Proportional to 632.86, 870.25 and 549.82

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Solution

The fourth proportional to 632.86, 870.25 and 549.82 is: 756.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.86 : 870.25 = 549.82 : x
  2. Step 2: Convert to fraction form
    632.86/870.25 = 549.82/x
  3. Step 3: Cross multiply
    632.86x = 870.25 × 549.82
  4. Step 4: Simplify right side
    632.86x = 478,480.86
  5. Step 5: Solve for x
    x = 478,480.86/632.86
  6. Step 6: Final answer
    x = 756.06

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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.