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Finding the Fourth Proportional to 1,045.63, 1,565.95 and 582.26

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Solution

The fourth proportional to 1,045.63, 1,565.95 and 582.26 is: 872.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.63 : 1,565.95 = 582.26 : x
  2. Step 2: Convert to fraction form
    1,045.63/1,565.95 = 582.26/x
  3. Step 3: Cross multiply
    1,045.63x = 1,565.95 × 582.26
  4. Step 4: Simplify right side
    1,045.63x = 911,790.05
  5. Step 5: Solve for x
    x = 911,790.05/1,045.63
  6. Step 6: Final answer
    x = 872.00

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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.