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Finding the Fourth Proportional to 865.02, 1,290.68 and 812.50

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Solution

The fourth proportional to 865.02, 1,290.68 and 812.50 is: 1,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.02 : 1,290.68 = 812.50 : x
  2. Step 2: Convert to fraction form
    865.02/1,290.68 = 812.50/x
  3. Step 3: Cross multiply
    865.02x = 1,290.68 × 812.50
  4. Step 4: Simplify right side
    865.02x = 1,048,677.50
  5. Step 5: Solve for x
    x = 1,048,677.50/865.02
  6. Step 6: Final answer
    x = 1,212.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.