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Finding the Fourth Proportional to 1,049, 1,573.14 and 463.82

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Solution

The fourth proportional to 1,049, 1,573.14 and 463.82 is: 695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049 : 1,573.14 = 463.82 : x
  2. Step 2: Convert to fraction form
    1,049/1,573.14 = 463.82/x
  3. Step 3: Cross multiply
    1,049x = 1,573.14 × 463.82
  4. Step 4: Simplify right side
    1,049x = 729,653.79
  5. Step 5: Solve for x
    x = 729,653.79/1,049
  6. Step 6: Final answer
    x = 695.57

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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.