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Finding the Fourth Proportional to 553.86, 762.84 and 470.46

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Solution

The fourth proportional to 553.86, 762.84 and 470.46 is: 647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 762.84 = 470.46 : x
  2. Step 2: Convert to fraction form
    553.86/762.84 = 470.46/x
  3. Step 3: Cross multiply
    553.86x = 762.84 × 470.46
  4. Step 4: Simplify right side
    553.86x = 358,885.71
  5. Step 5: Solve for x
    x = 358,885.71/553.86
  6. Step 6: Final answer
    x = 647.97

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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.