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Finding the Fourth Proportional to 802.79, 1,204.15 and 391.51

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Solution

The fourth proportional to 802.79, 1,204.15 and 391.51 is: 587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.79 : 1,204.15 = 391.51 : x
  2. Step 2: Convert to fraction form
    802.79/1,204.15 = 391.51/x
  3. Step 3: Cross multiply
    802.79x = 1,204.15 × 391.51
  4. Step 4: Simplify right side
    802.79x = 471,436.77
  5. Step 5: Solve for x
    x = 471,436.77/802.79
  6. Step 6: Final answer
    x = 587.25

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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.