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Finding the Fourth Proportional to 806.59, 1,112.72 and 585.06

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Solution

The fourth proportional to 806.59, 1,112.72 and 585.06 is: 807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.59 : 1,112.72 = 585.06 : x
  2. Step 2: Convert to fraction form
    806.59/1,112.72 = 585.06/x
  3. Step 3: Cross multiply
    806.59x = 1,112.72 × 585.06
  4. Step 4: Simplify right side
    806.59x = 650,999.47
  5. Step 5: Solve for x
    x = 650,999.47/806.59
  6. Step 6: Final answer
    x = 807.10

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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.