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Finding the Fourth Proportional to 1,750.40, 2,625.04 and 580.18

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Solution

The fourth proportional to 1,750.40, 2,625.04 and 580.18 is: 870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.40 : 2,625.04 = 580.18 : x
  2. Step 2: Convert to fraction form
    1,750.40/2,625.04 = 580.18/x
  3. Step 3: Cross multiply
    1,750.40x = 2,625.04 × 580.18
  4. Step 4: Simplify right side
    1,750.40x = 1,522,995.71
  5. Step 5: Solve for x
    x = 1,522,995.71/1,750.40
  6. Step 6: Final answer
    x = 870.08

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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.