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Finding the Fourth Proportional to 864.79, 1,297.80 and 377.98

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Solution

The fourth proportional to 864.79, 1,297.80 and 377.98 is: 567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.79 : 1,297.80 = 377.98 : x
  2. Step 2: Convert to fraction form
    864.79/1,297.80 = 377.98/x
  3. Step 3: Cross multiply
    864.79x = 1,297.80 × 377.98
  4. Step 4: Simplify right side
    864.79x = 490,542.44
  5. Step 5: Solve for x
    x = 490,542.44/864.79
  6. Step 6: Final answer
    x = 567.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.