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Finding the Fourth Proportional to 653.32, 974.93 and 580.60

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Solution

The fourth proportional to 653.32, 974.93 and 580.60 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 974.93 = 580.60 : x
  2. Step 2: Convert to fraction form
    653.32/974.93 = 580.60/x
  3. Step 3: Cross multiply
    653.32x = 974.93 × 580.60
  4. Step 4: Simplify right side
    653.32x = 566,044.36
  5. Step 5: Solve for x
    x = 566,044.36/653.32
  6. Step 6: Final answer
    x = 866.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.