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Finding the Fourth Proportional to 947.46, 1,423.08 and 582.96

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Solution

The fourth proportional to 947.46, 1,423.08 and 582.96 is: 875.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.46 : 1,423.08 = 582.96 : x
  2. Step 2: Convert to fraction form
    947.46/1,423.08 = 582.96/x
  3. Step 3: Cross multiply
    947.46x = 1,423.08 × 582.96
  4. Step 4: Simplify right side
    947.46x = 829,598.72
  5. Step 5: Solve for x
    x = 829,598.72/947.46
  6. Step 6: Final answer
    x = 875.60

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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.