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Finding the Fourth Proportional to 991.92, 1,477.98 and 947.76

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Solution

The fourth proportional to 991.92, 1,477.98 and 947.76 is: 1,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.92 : 1,477.98 = 947.76 : x
  2. Step 2: Convert to fraction form
    991.92/1,477.98 = 947.76/x
  3. Step 3: Cross multiply
    991.92x = 1,477.98 × 947.76
  4. Step 4: Simplify right side
    991.92x = 1,400,770.32
  5. Step 5: Solve for x
    x = 1,400,770.32/991.92
  6. Step 6: Final answer
    x = 1,412.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.