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Finding the Fourth Proportional to 991.19, 1,486.74 and 471.44

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Solution

The fourth proportional to 991.19, 1,486.74 and 471.44 is: 707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.19 : 1,486.74 = 471.44 : x
  2. Step 2: Convert to fraction form
    991.19/1,486.74 = 471.44/x
  3. Step 3: Cross multiply
    991.19x = 1,486.74 × 471.44
  4. Step 4: Simplify right side
    991.19x = 700,908.71
  5. Step 5: Solve for x
    x = 700,908.71/991.19
  6. Step 6: Final answer
    x = 707.14

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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.