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Finding the Fourth Proportional to 802.68, 1,202.76 and 477.87

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Solution

The fourth proportional to 802.68, 1,202.76 and 477.87 is: 716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.68 : 1,202.76 = 477.87 : x
  2. Step 2: Convert to fraction form
    802.68/1,202.76 = 477.87/x
  3. Step 3: Cross multiply
    802.68x = 1,202.76 × 477.87
  4. Step 4: Simplify right side
    802.68x = 574,762.92
  5. Step 5: Solve for x
    x = 574,762.92/802.68
  6. Step 6: Final answer
    x = 716.05

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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.