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Finding the Fourth Proportional to 1,709.19, 2,358.76 and 963.13

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Solution

The fourth proportional to 1,709.19, 2,358.76 and 963.13 is: 1,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.19 : 2,358.76 = 963.13 : x
  2. Step 2: Convert to fraction form
    1,709.19/2,358.76 = 963.13/x
  3. Step 3: Cross multiply
    1,709.19x = 2,358.76 × 963.13
  4. Step 4: Simplify right side
    1,709.19x = 2,271,799.17
  5. Step 5: Solve for x
    x = 2,271,799.17/1,709.19
  6. Step 6: Final answer
    x = 1,329.17

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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.