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Finding the Fourth Proportional to 653.65, 902.01 and 358.91

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Solution

The fourth proportional to 653.65, 902.01 and 358.91 is: 495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.65 : 902.01 = 358.91 : x
  2. Step 2: Convert to fraction form
    653.65/902.01 = 358.91/x
  3. Step 3: Cross multiply
    653.65x = 902.01 × 358.91
  4. Step 4: Simplify right side
    653.65x = 323,740.41
  5. Step 5: Solve for x
    x = 323,740.41/653.65
  6. Step 6: Final answer
    x = 495.28

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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.