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Finding the Fourth Proportional to 1,985.11, 2,977.71 and 598.49

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Solution

The fourth proportional to 1,985.11, 2,977.71 and 598.49 is: 897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.11 : 2,977.71 = 598.49 : x
  2. Step 2: Convert to fraction form
    1,985.11/2,977.71 = 598.49/x
  3. Step 3: Cross multiply
    1,985.11x = 2,977.71 × 598.49
  4. Step 4: Simplify right side
    1,985.11x = 1,782,114.77
  5. Step 5: Solve for x
    x = 1,782,114.77/1,985.11
  6. Step 6: Final answer
    x = 897.74

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1.5x scale

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.