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Finding the Fourth Proportional to 1,045.56, 1,567.28 and 583.56

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Solution

The fourth proportional to 1,045.56, 1,567.28 and 583.56 is: 874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.56 : 1,567.28 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,045.56/1,567.28 = 583.56/x
  3. Step 3: Cross multiply
    1,045.56x = 1,567.28 × 583.56
  4. Step 4: Simplify right side
    1,045.56x = 914,601.92
  5. Step 5: Solve for x
    x = 914,601.92/1,045.56
  6. Step 6: Final answer
    x = 874.75

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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.