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Finding the Fourth Proportional to 864.33, 1,192.77 and 471.35

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Solution

The fourth proportional to 864.33, 1,192.77 and 471.35 is: 650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.33 : 1,192.77 = 471.35 : x
  2. Step 2: Convert to fraction form
    864.33/1,192.77 = 471.35/x
  3. Step 3: Cross multiply
    864.33x = 1,192.77 × 471.35
  4. Step 4: Simplify right side
    864.33x = 562,206.18
  5. Step 5: Solve for x
    x = 562,206.18/864.33
  6. Step 6: Final answer
    x = 650.45

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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.