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Finding the Fourth Proportional to 1,535.90, 2,303.24 and 991.58

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Solution

The fourth proportional to 1,535.90, 2,303.24 and 991.58 is: 1,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.90 : 2,303.24 = 991.58 : x
  2. Step 2: Convert to fraction form
    1,535.90/2,303.24 = 991.58/x
  3. Step 3: Cross multiply
    1,535.90x = 2,303.24 × 991.58
  4. Step 4: Simplify right side
    1,535.90x = 2,283,830.25
  5. Step 5: Solve for x
    x = 2,283,830.25/1,535.90
  6. Step 6: Final answer
    x = 1,486.97

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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.