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Finding the Fourth Proportional to 802.65, 1,107.55 and 471.01

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Solution

The fourth proportional to 802.65, 1,107.55 and 471.01 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.65 : 1,107.55 = 471.01 : x
  2. Step 2: Convert to fraction form
    802.65/1,107.55 = 471.01/x
  3. Step 3: Cross multiply
    802.65x = 1,107.55 × 471.01
  4. Step 4: Simplify right side
    802.65x = 521,667.13
  5. Step 5: Solve for x
    x = 521,667.13/802.65
  6. Step 6: Final answer
    x = 649.93

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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.