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Finding the Fourth Proportional to 864.78, 1,190.88 and 602.34

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Solution

The fourth proportional to 864.78, 1,190.88 and 602.34 is: 829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.78 : 1,190.88 = 602.34 : x
  2. Step 2: Convert to fraction form
    864.78/1,190.88 = 602.34/x
  3. Step 3: Cross multiply
    864.78x = 1,190.88 × 602.34
  4. Step 4: Simplify right side
    864.78x = 717,314.66
  5. Step 5: Solve for x
    x = 717,314.66/864.78
  6. Step 6: Final answer
    x = 829.48

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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.