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Finding the Fourth Proportional to 2,332.25, 3,498.90 and 772.19

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Solution

The fourth proportional to 2,332.25, 3,498.90 and 772.19 is: 1,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.25 : 3,498.90 = 772.19 : x
  2. Step 2: Convert to fraction form
    2,332.25/3,498.90 = 772.19/x
  3. Step 3: Cross multiply
    2,332.25x = 3,498.90 × 772.19
  4. Step 4: Simplify right side
    2,332.25x = 2,701,798.10
  5. Step 5: Solve for x
    x = 2,701,798.10/2,332.25
  6. Step 6: Final answer
    x = 1,158.45

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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.