Home / 1,604.17-2,407.14-988.15

Finding the Fourth Proportional to 1,604.17, 2,407.14 and 988.15

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Solution

The fourth proportional to 1,604.17, 2,407.14 and 988.15 is: 1,482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.17 : 2,407.14 = 988.15 : x
  2. Step 2: Convert to fraction form
    1,604.17/2,407.14 = 988.15/x
  3. Step 3: Cross multiply
    1,604.17x = 2,407.14 × 988.15
  4. Step 4: Simplify right side
    1,604.17x = 2,378,615.39
  5. Step 5: Solve for x
    x = 2,378,615.39/1,604.17
  6. Step 6: Final answer
    x = 1,482.77

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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.