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Finding the Fourth Proportional to 630.70, 869.80 and 431.44

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Solution

The fourth proportional to 630.70, 869.80 and 431.44 is: 595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.70 : 869.80 = 431.44 : x
  2. Step 2: Convert to fraction form
    630.70/869.80 = 431.44/x
  3. Step 3: Cross multiply
    630.70x = 869.80 × 431.44
  4. Step 4: Simplify right side
    630.70x = 375,266.51
  5. Step 5: Solve for x
    x = 375,266.51/630.70
  6. Step 6: Final answer
    x = 595.00

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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.