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Finding the Fourth Proportional to 653.61, 902.67 and 495.93

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Solution

The fourth proportional to 653.61, 902.67 and 495.93 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.61 : 902.67 = 495.93 : x
  2. Step 2: Convert to fraction form
    653.61/902.67 = 495.93/x
  3. Step 3: Cross multiply
    653.61x = 902.67 × 495.93
  4. Step 4: Simplify right side
    653.61x = 447,661.13
  5. Step 5: Solve for x
    x = 447,661.13/653.61
  6. Step 6: Final answer
    x = 684.91

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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.