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Finding the Fourth Proportional to 864.69, 1,192.75 and 628.32

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Solution

The fourth proportional to 864.69, 1,192.75 and 628.32 is: 866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.69 : 1,192.75 = 628.32 : x
  2. Step 2: Convert to fraction form
    864.69/1,192.75 = 628.32/x
  3. Step 3: Cross multiply
    864.69x = 1,192.75 × 628.32
  4. Step 4: Simplify right side
    864.69x = 749,428.68
  5. Step 5: Solve for x
    x = 749,428.68/864.69
  6. Step 6: Final answer
    x = 866.70

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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.