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Finding the Fourth Proportional to 786.95, 1,171.53 and 782.87

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Solution

The fourth proportional to 786.95, 1,171.53 and 782.87 is: 1,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.95 : 1,171.53 = 782.87 : x
  2. Step 2: Convert to fraction form
    786.95/1,171.53 = 782.87/x
  3. Step 3: Cross multiply
    786.95x = 1,171.53 × 782.87
  4. Step 4: Simplify right side
    786.95x = 917,151.78
  5. Step 5: Solve for x
    x = 917,151.78/786.95
  6. Step 6: Final answer
    x = 1,165.45

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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.