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Finding the Fourth Proportional to 1,068.08, 1,600.36 and 807.72

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Solution

The fourth proportional to 1,068.08, 1,600.36 and 807.72 is: 1,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.08 : 1,600.36 = 807.72 : x
  2. Step 2: Convert to fraction form
    1,068.08/1,600.36 = 807.72/x
  3. Step 3: Cross multiply
    1,068.08x = 1,600.36 × 807.72
  4. Step 4: Simplify right side
    1,068.08x = 1,292,642.78
  5. Step 5: Solve for x
    x = 1,292,642.78/1,068.08
  6. Step 6: Final answer
    x = 1,210.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.