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Finding the Fourth Proportional to 653.74, 902.54 and 433.05

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Solution

The fourth proportional to 653.74, 902.54 and 433.05 is: 597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.74 : 902.54 = 433.05 : x
  2. Step 2: Convert to fraction form
    653.74/902.54 = 433.05/x
  3. Step 3: Cross multiply
    653.74x = 902.54 × 433.05
  4. Step 4: Simplify right side
    653.74x = 390,842.65
  5. Step 5: Solve for x
    x = 390,842.65/653.74
  6. Step 6: Final answer
    x = 597.86

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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.