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Finding the Fourth Proportional to 975.50, 1,346.10 and 582.62

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Solution

The fourth proportional to 975.50, 1,346.10 and 582.62 is: 803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.50 : 1,346.10 = 582.62 : x
  2. Step 2: Convert to fraction form
    975.50/1,346.10 = 582.62/x
  3. Step 3: Cross multiply
    975.50x = 1,346.10 × 582.62
  4. Step 4: Simplify right side
    975.50x = 784,264.78
  5. Step 5: Solve for x
    x = 784,264.78/975.50
  6. Step 6: Final answer
    x = 803.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.