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Finding the Fourth Proportional to 1,290.90, 1,935.70 and 632.82

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Solution

The fourth proportional to 1,290.90, 1,935.70 and 632.82 is: 948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.90 : 1,935.70 = 632.82 : x
  2. Step 2: Convert to fraction form
    1,290.90/1,935.70 = 632.82/x
  3. Step 3: Cross multiply
    1,290.90x = 1,935.70 × 632.82
  4. Step 4: Simplify right side
    1,290.90x = 1,224,949.67
  5. Step 5: Solve for x
    x = 1,224,949.67/1,290.90
  6. Step 6: Final answer
    x = 948.91

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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.