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Finding the Fourth Proportional to 653.75, 981.23 and 608.49

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Solution

The fourth proportional to 653.75, 981.23 and 608.49 is: 913.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.75 : 981.23 = 608.49 : x
  2. Step 2: Convert to fraction form
    653.75/981.23 = 608.49/x
  3. Step 3: Cross multiply
    653.75x = 981.23 × 608.49
  4. Step 4: Simplify right side
    653.75x = 597,068.64
  5. Step 5: Solve for x
    x = 597,068.64/653.75
  6. Step 6: Final answer
    x = 913.30

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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.