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Finding the Fourth Proportional to 864.37, 1,192.94 and 549.69

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Solution

The fourth proportional to 864.37, 1,192.94 and 549.69 is: 758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.37 : 1,192.94 = 549.69 : x
  2. Step 2: Convert to fraction form
    864.37/1,192.94 = 549.69/x
  3. Step 3: Cross multiply
    864.37x = 1,192.94 × 549.69
  4. Step 4: Simplify right side
    864.37x = 655,747.19
  5. Step 5: Solve for x
    x = 655,747.19/864.37
  6. Step 6: Final answer
    x = 758.64

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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.