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Finding the Fourth Proportional to 870.08, 1,303.38 and 523.22

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Solution

The fourth proportional to 870.08, 1,303.38 and 523.22 is: 783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.08 : 1,303.38 = 523.22 : x
  2. Step 2: Convert to fraction form
    870.08/1,303.38 = 523.22/x
  3. Step 3: Cross multiply
    870.08x = 1,303.38 × 523.22
  4. Step 4: Simplify right side
    870.08x = 681,957.25
  5. Step 5: Solve for x
    x = 681,957.25/870.08
  6. Step 6: Final answer
    x = 783.79

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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.