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Finding the Fourth Proportional to 802.88, 1,107.14 and 522.80

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Solution

The fourth proportional to 802.88, 1,107.14 and 522.80 is: 720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,107.14 = 522.80 : x
  2. Step 2: Convert to fraction form
    802.88/1,107.14 = 522.80/x
  3. Step 3: Cross multiply
    802.88x = 1,107.14 × 522.80
  4. Step 4: Simplify right side
    802.88x = 578,812.79
  5. Step 5: Solve for x
    x = 578,812.79/802.88
  6. Step 6: Final answer
    x = 720.92

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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.