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Finding the Fourth Proportional to 802.64, 1,202.85 and 473.65

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Solution

The fourth proportional to 802.64, 1,202.85 and 473.65 is: 709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.64 : 1,202.85 = 473.65 : x
  2. Step 2: Convert to fraction form
    802.64/1,202.85 = 473.65/x
  3. Step 3: Cross multiply
    802.64x = 1,202.85 × 473.65
  4. Step 4: Simplify right side
    802.64x = 569,726.90
  5. Step 5: Solve for x
    x = 569,726.90/802.64
  6. Step 6: Final answer
    x = 709.81

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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.