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Finding the Fourth Proportional to 630.13, 869.52 and 583.69

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Solution

The fourth proportional to 630.13, 869.52 and 583.69 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.13 : 869.52 = 583.69 : x
  2. Step 2: Convert to fraction form
    630.13/869.52 = 583.69/x
  3. Step 3: Cross multiply
    630.13x = 869.52 × 583.69
  4. Step 4: Simplify right side
    630.13x = 507,530.13
  5. Step 5: Solve for x
    x = 507,530.13/630.13
  6. Step 6: Final answer
    x = 805.44

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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.