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Finding the Fourth Proportional to 947.90, 1,421.85 and 656.30

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Solution

The fourth proportional to 947.90, 1,421.85 and 656.30 is: 984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.90 : 1,421.85 = 656.30 : x
  2. Step 2: Convert to fraction form
    947.90/1,421.85 = 656.30/x
  3. Step 3: Cross multiply
    947.90x = 1,421.85 × 656.30
  4. Step 4: Simplify right side
    947.90x = 933,160.16
  5. Step 5: Solve for x
    x = 933,160.16/947.90
  6. Step 6: Final answer
    x = 984.45

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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.