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Finding the Fourth Proportional to 802.72, 1,107.28 and 492

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Solution

The fourth proportional to 802.72, 1,107.28 and 492 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.72 : 1,107.28 = 492 : x
  2. Step 2: Convert to fraction form
    802.72/1,107.28 = 492/x
  3. Step 3: Cross multiply
    802.72x = 1,107.28 × 492
  4. Step 4: Simplify right side
    802.72x = 544,781.76
  5. Step 5: Solve for x
    x = 544,781.76/802.72
  6. Step 6: Final answer
    x = 678.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.