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Finding the Fourth Proportional to 632.65, 948.97 and 524.21

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Solution

The fourth proportional to 632.65, 948.97 and 524.21 is: 786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.65 : 948.97 = 524.21 : x
  2. Step 2: Convert to fraction form
    632.65/948.97 = 524.21/x
  3. Step 3: Cross multiply
    632.65x = 948.97 × 524.21
  4. Step 4: Simplify right side
    632.65x = 497,457.86
  5. Step 5: Solve for x
    x = 497,457.86/632.65
  6. Step 6: Final answer
    x = 786.31

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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.