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Finding the Fourth Proportional to 1,640.77, 2,264.54 and 977.95

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Solution

The fourth proportional to 1,640.77, 2,264.54 and 977.95 is: 1,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.77 : 2,264.54 = 977.95 : x
  2. Step 2: Convert to fraction form
    1,640.77/2,264.54 = 977.95/x
  3. Step 3: Cross multiply
    1,640.77x = 2,264.54 × 977.95
  4. Step 4: Simplify right side
    1,640.77x = 2,214,606.89
  5. Step 5: Solve for x
    x = 2,214,606.89/1,640.77
  6. Step 6: Final answer
    x = 1,349.74

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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.