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Finding the Fourth Proportional to 652.69, 900.75 and 431.26

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Solution

The fourth proportional to 652.69, 900.75 and 431.26 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 900.75 = 431.26 : x
  2. Step 2: Convert to fraction form
    652.69/900.75 = 431.26/x
  3. Step 3: Cross multiply
    652.69x = 900.75 × 431.26
  4. Step 4: Simplify right side
    652.69x = 388,456.81
  5. Step 5: Solve for x
    x = 388,456.81/652.69
  6. Step 6: Final answer
    x = 595.16

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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.