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Finding the Fourth Proportional to 1,304.55, 1,955.61 and 1,061.55

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Solution

The fourth proportional to 1,304.55, 1,955.61 and 1,061.55 is: 1,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.55 : 1,955.61 = 1,061.55 : x
  2. Step 2: Convert to fraction form
    1,304.55/1,955.61 = 1,061.55/x
  3. Step 3: Cross multiply
    1,304.55x = 1,955.61 × 1,061.55
  4. Step 4: Simplify right side
    1,304.55x = 2,075,977.80
  5. Step 5: Solve for x
    x = 2,075,977.80/1,304.55
  6. Step 6: Final answer
    x = 1,591.34

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1.5x scale

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.