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Finding the Fourth Proportional to 560.86, 842.01 and 470.68

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Solution

The fourth proportional to 560.86, 842.01 and 470.68 is: 706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 842.01 = 470.68 : x
  2. Step 2: Convert to fraction form
    560.86/842.01 = 470.68/x
  3. Step 3: Cross multiply
    560.86x = 842.01 × 470.68
  4. Step 4: Simplify right side
    560.86x = 396,317.27
  5. Step 5: Solve for x
    x = 396,317.27/560.86
  6. Step 6: Final answer
    x = 706.62

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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.