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Finding the Fourth Proportional to 653.40, 902.72 and 601.56

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Solution

The fourth proportional to 653.40, 902.72 and 601.56 is: 831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.40 : 902.72 = 601.56 : x
  2. Step 2: Convert to fraction form
    653.40/902.72 = 601.56/x
  3. Step 3: Cross multiply
    653.40x = 902.72 × 601.56
  4. Step 4: Simplify right side
    653.40x = 543,040.24
  5. Step 5: Solve for x
    x = 543,040.24/653.40
  6. Step 6: Final answer
    x = 831.10

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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.