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Finding the Fourth Proportional to 867.07, 1,197.44 and 656.88

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Solution

The fourth proportional to 867.07, 1,197.44 and 656.88 is: 907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.07 : 1,197.44 = 656.88 : x
  2. Step 2: Convert to fraction form
    867.07/1,197.44 = 656.88/x
  3. Step 3: Cross multiply
    867.07x = 1,197.44 × 656.88
  4. Step 4: Simplify right side
    867.07x = 786,574.39
  5. Step 5: Solve for x
    x = 786,574.39/867.07
  6. Step 6: Final answer
    x = 907.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.