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Finding the Fourth Proportional to 487.51, 669.16 and 433.88

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Solution

The fourth proportional to 487.51, 669.16 and 433.88 is: 595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.51 : 669.16 = 433.88 : x
  2. Step 2: Convert to fraction form
    487.51/669.16 = 433.88/x
  3. Step 3: Cross multiply
    487.51x = 669.16 × 433.88
  4. Step 4: Simplify right side
    487.51x = 290,335.14
  5. Step 5: Solve for x
    x = 290,335.14/487.51
  6. Step 6: Final answer
    x = 595.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.