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Finding the Fourth Proportional to 802.50, 1,107.47 and 470.94

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Solution

The fourth proportional to 802.50, 1,107.47 and 470.94 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.50 : 1,107.47 = 470.94 : x
  2. Step 2: Convert to fraction form
    802.50/1,107.47 = 470.94/x
  3. Step 3: Cross multiply
    802.50x = 1,107.47 × 470.94
  4. Step 4: Simplify right side
    802.50x = 521,551.92
  5. Step 5: Solve for x
    x = 521,551.92/802.50
  6. Step 6: Final answer
    x = 649.91

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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.