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Finding the Fourth Proportional to 556.48, 766.52 and 463.04

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Solution

The fourth proportional to 556.48, 766.52 and 463.04 is: 637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.48 : 766.52 = 463.04 : x
  2. Step 2: Convert to fraction form
    556.48/766.52 = 463.04/x
  3. Step 3: Cross multiply
    556.48x = 766.52 × 463.04
  4. Step 4: Simplify right side
    556.48x = 354,929.42
  5. Step 5: Solve for x
    x = 354,929.42/556.48
  6. Step 6: Final answer
    x = 637.81

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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.