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Finding the Fourth Proportional to 867.02, 1,291.80 and 811.13

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Solution

The fourth proportional to 867.02, 1,291.80 and 811.13 is: 1,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.02 : 1,291.80 = 811.13 : x
  2. Step 2: Convert to fraction form
    867.02/1,291.80 = 811.13/x
  3. Step 3: Cross multiply
    867.02x = 1,291.80 × 811.13
  4. Step 4: Simplify right side
    867.02x = 1,047,814.32
  5. Step 5: Solve for x
    x = 1,047,814.32/867.02
  6. Step 6: Final answer
    x = 1,208.53

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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.