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Finding the Fourth Proportional to 802.79, 1,204.31 and 340.57

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Solution

The fourth proportional to 802.79, 1,204.31 and 340.57 is: 510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.79 : 1,204.31 = 340.57 : x
  2. Step 2: Convert to fraction form
    802.79/1,204.31 = 340.57/x
  3. Step 3: Cross multiply
    802.79x = 1,204.31 × 340.57
  4. Step 4: Simplify right side
    802.79x = 410,151.86
  5. Step 5: Solve for x
    x = 410,151.86/802.79
  6. Step 6: Final answer
    x = 510.91

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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.