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Finding the Fourth Proportional to 653.09, 901.40 and 432.07

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Solution

The fourth proportional to 653.09, 901.40 and 432.07 is: 596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.09 : 901.40 = 432.07 : x
  2. Step 2: Convert to fraction form
    653.09/901.40 = 432.07/x
  3. Step 3: Cross multiply
    653.09x = 901.40 × 432.07
  4. Step 4: Simplify right side
    653.09x = 389,467.90
  5. Step 5: Solve for x
    x = 389,467.90/653.09
  6. Step 6: Final answer
    x = 596.35

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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.