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Finding the Fourth Proportional to 1,065.84, 1,591.86 and 903.84

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Solution

The fourth proportional to 1,065.84, 1,591.86 and 903.84 is: 1,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,591.86 = 903.84 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,591.86 = 903.84/x
  3. Step 3: Cross multiply
    1,065.84x = 1,591.86 × 903.84
  4. Step 4: Simplify right side
    1,065.84x = 1,438,786.74
  5. Step 5: Solve for x
    x = 1,438,786.74/1,065.84
  6. Step 6: Final answer
    x = 1,349.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.