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Finding the Fourth Proportional to 867.08, 1,294.53 and 660.53

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Solution

The fourth proportional to 867.08, 1,294.53 and 660.53 is: 986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.08 : 1,294.53 = 660.53 : x
  2. Step 2: Convert to fraction form
    867.08/1,294.53 = 660.53/x
  3. Step 3: Cross multiply
    867.08x = 1,294.53 × 660.53
  4. Step 4: Simplify right side
    867.08x = 855,075.90
  5. Step 5: Solve for x
    x = 855,075.90/867.08
  6. Step 6: Final answer
    x = 986.16

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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.