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Finding the Fourth Proportional to 975.56, 1,346.14 and 582.50

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Solution

The fourth proportional to 975.56, 1,346.14 and 582.50 is: 803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.56 : 1,346.14 = 582.50 : x
  2. Step 2: Convert to fraction form
    975.56/1,346.14 = 582.50/x
  3. Step 3: Cross multiply
    975.56x = 1,346.14 × 582.50
  4. Step 4: Simplify right side
    975.56x = 784,126.55
  5. Step 5: Solve for x
    x = 784,126.55/975.56
  6. Step 6: Final answer
    x = 803.77

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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.