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Finding the Fourth Proportional to 653.63, 901.67 and 432.63

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Solution

The fourth proportional to 653.63, 901.67 and 432.63 is: 596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 901.67 = 432.63 : x
  2. Step 2: Convert to fraction form
    653.63/901.67 = 432.63/x
  3. Step 3: Cross multiply
    653.63x = 901.67 × 432.63
  4. Step 4: Simplify right side
    653.63x = 390,087.33
  5. Step 5: Solve for x
    x = 390,087.33/653.63
  6. Step 6: Final answer
    x = 596.81

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1.5x scale

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.