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Finding the Fourth Proportional to 784.81, 1,081.74 and 651.76

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Solution

The fourth proportional to 784.81, 1,081.74 and 651.76 is: 898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.81 : 1,081.74 = 651.76 : x
  2. Step 2: Convert to fraction form
    784.81/1,081.74 = 651.76/x
  3. Step 3: Cross multiply
    784.81x = 1,081.74 × 651.76
  4. Step 4: Simplify right side
    784.81x = 705,037.02
  5. Step 5: Solve for x
    x = 705,037.02/784.81
  6. Step 6: Final answer
    x = 898.36

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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.