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Finding the Fourth Proportional to 1,002.80, 1,502.45 and 585.75

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Solution

The fourth proportional to 1,002.80, 1,502.45 and 585.75 is: 877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.80 : 1,502.45 = 585.75 : x
  2. Step 2: Convert to fraction form
    1,002.80/1,502.45 = 585.75/x
  3. Step 3: Cross multiply
    1,002.80x = 1,502.45 × 585.75
  4. Step 4: Simplify right side
    1,002.80x = 880,060.09
  5. Step 5: Solve for x
    x = 880,060.09/1,002.80
  6. Step 6: Final answer
    x = 877.60

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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.