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Finding the Fourth Proportional to 1,598.79, 2,201.55 and 1,562.40

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Solution

The fourth proportional to 1,598.79, 2,201.55 and 1,562.40 is: 2,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.79 : 2,201.55 = 1,562.40 : x
  2. Step 2: Convert to fraction form
    1,598.79/2,201.55 = 1,562.40/x
  3. Step 3: Cross multiply
    1,598.79x = 2,201.55 × 1,562.40
  4. Step 4: Simplify right side
    1,598.79x = 3,439,701.72
  5. Step 5: Solve for x
    x = 3,439,701.72/1,598.79
  6. Step 6: Final answer
    x = 2,151.44

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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.