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Finding the Fourth Proportional to 1,275.77, 1,913.16 and 495.66

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Solution

The fourth proportional to 1,275.77, 1,913.16 and 495.66 is: 743.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.77 : 1,913.16 = 495.66 : x
  2. Step 2: Convert to fraction form
    1,275.77/1,913.16 = 495.66/x
  3. Step 3: Cross multiply
    1,275.77x = 1,913.16 × 495.66
  4. Step 4: Simplify right side
    1,275.77x = 948,282.21
  5. Step 5: Solve for x
    x = 948,282.21/1,275.77
  6. Step 6: Final answer
    x = 743.30

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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.