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Finding the Fourth Proportional to 587.48, 811.32 and 478.12

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Solution

The fourth proportional to 587.48, 811.32 and 478.12 is: 660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.48 : 811.32 = 478.12 : x
  2. Step 2: Convert to fraction form
    587.48/811.32 = 478.12/x
  3. Step 3: Cross multiply
    587.48x = 811.32 × 478.12
  4. Step 4: Simplify right side
    587.48x = 387,908.32
  5. Step 5: Solve for x
    x = 387,908.32/587.48
  6. Step 6: Final answer
    x = 660.29

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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.