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Finding the Fourth Proportional to 1,264.74, 1,895.22 and 647.10

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Solution

The fourth proportional to 1,264.74, 1,895.22 and 647.10 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.74 : 1,895.22 = 647.10 : x
  2. Step 2: Convert to fraction form
    1,264.74/1,895.22 = 647.10/x
  3. Step 3: Cross multiply
    1,264.74x = 1,895.22 × 647.10
  4. Step 4: Simplify right side
    1,264.74x = 1,226,396.86
  5. Step 5: Solve for x
    x = 1,226,396.86/1,264.74
  6. Step 6: Final answer
    x = 969.68

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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.