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Finding the Fourth Proportional to 801.67, 1,106.36 and 470.47

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Solution

The fourth proportional to 801.67, 1,106.36 and 470.47 is: 649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.67 : 1,106.36 = 470.47 : x
  2. Step 2: Convert to fraction form
    801.67/1,106.36 = 470.47/x
  3. Step 3: Cross multiply
    801.67x = 1,106.36 × 470.47
  4. Step 4: Simplify right side
    801.67x = 520,509.19
  5. Step 5: Solve for x
    x = 520,509.19/801.67
  6. Step 6: Final answer
    x = 649.28

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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.