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Finding the Fourth Proportional to 947.22, 1,419.57 and 536.10

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Solution

The fourth proportional to 947.22, 1,419.57 and 536.10 is: 803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.22 : 1,419.57 = 536.10 : x
  2. Step 2: Convert to fraction form
    947.22/1,419.57 = 536.10/x
  3. Step 3: Cross multiply
    947.22x = 1,419.57 × 536.10
  4. Step 4: Simplify right side
    947.22x = 761,031.48
  5. Step 5: Solve for x
    x = 761,031.48/947.22
  6. Step 6: Final answer
    x = 803.44

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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.