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Finding the Fourth Proportional to 1,264.83, 1,895.96 and 647.21

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Solution

The fourth proportional to 1,264.83, 1,895.96 and 647.21 is: 970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.83 : 1,895.96 = 647.21 : x
  2. Step 2: Convert to fraction form
    1,264.83/1,895.96 = 647.21/x
  3. Step 3: Cross multiply
    1,264.83x = 1,895.96 × 647.21
  4. Step 4: Simplify right side
    1,264.83x = 1,227,071.56
  5. Step 5: Solve for x
    x = 1,227,071.56/1,264.83
  6. Step 6: Final answer
    x = 970.15

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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.