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Finding the Fourth Proportional to 1,280.59, 1,768.26 and 907.99

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Solution

The fourth proportional to 1,280.59, 1,768.26 and 907.99 is: 1,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,768.26 = 907.99 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,768.26 = 907.99/x
  3. Step 3: Cross multiply
    1,280.59x = 1,768.26 × 907.99
  4. Step 4: Simplify right side
    1,280.59x = 1,605,561.38
  5. Step 5: Solve for x
    x = 1,605,561.38/1,280.59
  6. Step 6: Final answer
    x = 1,253.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.