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Finding the Fourth Proportional to 786.91, 1,184.95 and 582.91

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Solution

The fourth proportional to 786.91, 1,184.95 and 582.91 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.91 : 1,184.95 = 582.91 : x
  2. Step 2: Convert to fraction form
    786.91/1,184.95 = 582.91/x
  3. Step 3: Cross multiply
    786.91x = 1,184.95 × 582.91
  4. Step 4: Simplify right side
    786.91x = 690,719.20
  5. Step 5: Solve for x
    x = 690,719.20/786.91
  6. Step 6: Final answer
    x = 877.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.