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Finding the Fourth Proportional to 1,264.71, 1,895.77 and 484.50

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Solution

The fourth proportional to 1,264.71, 1,895.77 and 484.50 is: 726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.71 : 1,895.77 = 484.50 : x
  2. Step 2: Convert to fraction form
    1,264.71/1,895.77 = 484.50/x
  3. Step 3: Cross multiply
    1,264.71x = 1,895.77 × 484.50
  4. Step 4: Simplify right side
    1,264.71x = 918,498.14
  5. Step 5: Solve for x
    x = 918,498.14/1,264.71
  6. Step 6: Final answer
    x = 726.25

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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.