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Finding the Fourth Proportional to 1,867.23, 2,801.18 and 770.99

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Solution

The fourth proportional to 1,867.23, 2,801.18 and 770.99 is: 1,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.23 : 2,801.18 = 770.99 : x
  2. Step 2: Convert to fraction form
    1,867.23/2,801.18 = 770.99/x
  3. Step 3: Cross multiply
    1,867.23x = 2,801.18 × 770.99
  4. Step 4: Simplify right side
    1,867.23x = 2,159,681.77
  5. Step 5: Solve for x
    x = 2,159,681.77/1,867.23
  6. Step 6: Final answer
    x = 1,156.62

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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.