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Finding the Fourth Proportional to 802.61, 1,107.21 and 470.83

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Solution

The fourth proportional to 802.61, 1,107.21 and 470.83 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.61 : 1,107.21 = 470.83 : x
  2. Step 2: Convert to fraction form
    802.61/1,107.21 = 470.83/x
  3. Step 3: Cross multiply
    802.61x = 1,107.21 × 470.83
  4. Step 4: Simplify right side
    802.61x = 521,307.68
  5. Step 5: Solve for x
    x = 521,307.68/802.61
  6. Step 6: Final answer
    x = 649.52

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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.