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Finding the Fourth Proportional to 589.78, 883.45 and 459.64

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Solution

The fourth proportional to 589.78, 883.45 and 459.64 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 883.45 = 459.64 : x
  2. Step 2: Convert to fraction form
    589.78/883.45 = 459.64/x
  3. Step 3: Cross multiply
    589.78x = 883.45 × 459.64
  4. Step 4: Simplify right side
    589.78x = 406,068.96
  5. Step 5: Solve for x
    x = 406,068.96/589.78
  6. Step 6: Final answer
    x = 688.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.