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Finding the Fourth Proportional to 998.64, 1,377.60 and 688.08

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Solution

The fourth proportional to 998.64, 1,377.60 and 688.08 is: 949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.64 : 1,377.60 = 688.08 : x
  2. Step 2: Convert to fraction form
    998.64/1,377.60 = 688.08/x
  3. Step 3: Cross multiply
    998.64x = 1,377.60 × 688.08
  4. Step 4: Simplify right side
    998.64x = 947,899.01
  5. Step 5: Solve for x
    x = 947,899.01/998.64
  6. Step 6: Final answer
    x = 949.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.