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Finding the Fourth Proportional to 873.95, 1,206.78 and 780.53

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Solution

The fourth proportional to 873.95, 1,206.78 and 780.53 is: 1,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.95 : 1,206.78 = 780.53 : x
  2. Step 2: Convert to fraction form
    873.95/1,206.78 = 780.53/x
  3. Step 3: Cross multiply
    873.95x = 1,206.78 × 780.53
  4. Step 4: Simplify right side
    873.95x = 941,927.99
  5. Step 5: Solve for x
    x = 941,927.99/873.95
  6. Step 6: Final answer
    x = 1,077.78

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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.