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Finding the Fourth Proportional to 1,075.46, 1,610.45 and 709.13

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Solution

The fourth proportional to 1,075.46, 1,610.45 and 709.13 is: 1,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.46 : 1,610.45 = 709.13 : x
  2. Step 2: Convert to fraction form
    1,075.46/1,610.45 = 709.13/x
  3. Step 3: Cross multiply
    1,075.46x = 1,610.45 × 709.13
  4. Step 4: Simplify right side
    1,075.46x = 1,142,021.55
  5. Step 5: Solve for x
    x = 1,142,021.55/1,075.46
  6. Step 6: Final answer
    x = 1,061.90

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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.