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Finding the Fourth Proportional to 947.52, 1,421.64 and 536.40

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Solution

The fourth proportional to 947.52, 1,421.64 and 536.40 is: 804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.52 : 1,421.64 = 536.40 : x
  2. Step 2: Convert to fraction form
    947.52/1,421.64 = 536.40/x
  3. Step 3: Cross multiply
    947.52x = 1,421.64 × 536.40
  4. Step 4: Simplify right side
    947.52x = 762,567.70
  5. Step 5: Solve for x
    x = 762,567.70/947.52
  6. Step 6: Final answer
    x = 804.80

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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.