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Finding the Fourth Proportional to 807.04, 1,112.16 and 585.76

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Solution

The fourth proportional to 807.04, 1,112.16 and 585.76 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.04 : 1,112.16 = 585.76 : x
  2. Step 2: Convert to fraction form
    807.04/1,112.16 = 585.76/x
  3. Step 3: Cross multiply
    807.04x = 1,112.16 × 585.76
  4. Step 4: Simplify right side
    807.04x = 651,458.84
  5. Step 5: Solve for x
    x = 651,458.84/807.04
  6. Step 6: Final answer
    x = 807.22

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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.