Home / 1,985.38-2,977.10-598.46

Finding the Fourth Proportional to 1,985.38, 2,977.10 and 598.46

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Solution

The fourth proportional to 1,985.38, 2,977.10 and 598.46 is: 897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.38 : 2,977.10 = 598.46 : x
  2. Step 2: Convert to fraction form
    1,985.38/2,977.10 = 598.46/x
  3. Step 3: Cross multiply
    1,985.38x = 2,977.10 × 598.46
  4. Step 4: Simplify right side
    1,985.38x = 1,781,659.63
  5. Step 5: Solve for x
    x = 1,781,659.63/1,985.38
  6. Step 6: Final answer
    x = 897.39

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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.