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Finding the Fourth Proportional to 802.07, 1,107 and 466.19

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Solution

The fourth proportional to 802.07, 1,107 and 466.19 is: 643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.07 : 1,107 = 466.19 : x
  2. Step 2: Convert to fraction form
    802.07/1,107 = 466.19/x
  3. Step 3: Cross multiply
    802.07x = 1,107 × 466.19
  4. Step 4: Simplify right side
    802.07x = 516,066.80
  5. Step 5: Solve for x
    x = 516,066.80/802.07
  6. Step 6: Final answer
    x = 643.42

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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.