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Finding the Fourth Proportional to 826.47, 1,139.81 and 651.51

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Solution

The fourth proportional to 826.47, 1,139.81 and 651.51 is: 898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.47 : 1,139.81 = 651.51 : x
  2. Step 2: Convert to fraction form
    826.47/1,139.81 = 651.51/x
  3. Step 3: Cross multiply
    826.47x = 1,139.81 × 651.51
  4. Step 4: Simplify right side
    826.47x = 742,594.36
  5. Step 5: Solve for x
    x = 742,594.36/826.47
  6. Step 6: Final answer
    x = 898.51

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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.