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Finding the Fourth Proportional to 991.93, 1,488.05 and 991.93

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Solution

The fourth proportional to 991.93, 1,488.05 and 991.93 is: 1,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.93 : 1,488.05 = 991.93 : x
  2. Step 2: Convert to fraction form
    991.93/1,488.05 = 991.93/x
  3. Step 3: Cross multiply
    991.93x = 1,488.05 × 991.93
  4. Step 4: Simplify right side
    991.93x = 1,476,032.76
  5. Step 5: Solve for x
    x = 1,476,032.76/991.93
  6. Step 6: Final answer
    x = 1,488.05

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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.