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Finding the Fourth Proportional to 1,075.20, 1,610.74 and 580.40

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Solution

The fourth proportional to 1,075.20, 1,610.74 and 580.40 is: 869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.20 : 1,610.74 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,075.20/1,610.74 = 580.40/x
  3. Step 3: Cross multiply
    1,075.20x = 1,610.74 × 580.40
  4. Step 4: Simplify right side
    1,075.20x = 934,873.50
  5. Step 5: Solve for x
    x = 934,873.50/1,075.20
  6. Step 6: Final answer
    x = 869.49

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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.