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Finding the Fourth Proportional to 653.99, 975.40 and 612.68

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Solution

The fourth proportional to 653.99, 975.40 and 612.68 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.99 : 975.40 = 612.68 : x
  2. Step 2: Convert to fraction form
    653.99/975.40 = 612.68/x
  3. Step 3: Cross multiply
    653.99x = 975.40 × 612.68
  4. Step 4: Simplify right side
    653.99x = 597,601.66
  5. Step 5: Solve for x
    x = 597,601.66/653.99
  6. Step 6: Final answer
    x = 913.78

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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.