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Finding the Fourth Proportional to 630.42, 869.72 and 507.44

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Solution

The fourth proportional to 630.42, 869.72 and 507.44 is: 700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.42 : 869.72 = 507.44 : x
  2. Step 2: Convert to fraction form
    630.42/869.72 = 507.44/x
  3. Step 3: Cross multiply
    630.42x = 869.72 × 507.44
  4. Step 4: Simplify right side
    630.42x = 441,330.72
  5. Step 5: Solve for x
    x = 441,330.72/630.42
  6. Step 6: Final answer
    x = 700.06

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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.