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Finding the Fourth Proportional to 947.77, 1,419.50 and 508.25

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Solution

The fourth proportional to 947.77, 1,419.50 and 508.25 is: 761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.77 : 1,419.50 = 508.25 : x
  2. Step 2: Convert to fraction form
    947.77/1,419.50 = 508.25/x
  3. Step 3: Cross multiply
    947.77x = 1,419.50 × 508.25
  4. Step 4: Simplify right side
    947.77x = 721,465.69
  5. Step 5: Solve for x
    x = 721,465.69/947.77
  6. Step 6: Final answer
    x = 761.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.