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Finding the Fourth Proportional to 588.56, 886.28 and 435.56

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Solution

The fourth proportional to 588.56, 886.28 and 435.56 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.56 : 886.28 = 435.56 : x
  2. Step 2: Convert to fraction form
    588.56/886.28 = 435.56/x
  3. Step 3: Cross multiply
    588.56x = 886.28 × 435.56
  4. Step 4: Simplify right side
    588.56x = 386,031.42
  5. Step 5: Solve for x
    x = 386,031.42/588.56
  6. Step 6: Final answer
    x = 655.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.