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Finding the Fourth Proportional to 589.68, 884.80 and 417.46

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Solution

The fourth proportional to 589.68, 884.80 and 417.46 is: 626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 884.80 = 417.46 : x
  2. Step 2: Convert to fraction form
    589.68/884.80 = 417.46/x
  3. Step 3: Cross multiply
    589.68x = 884.80 × 417.46
  4. Step 4: Simplify right side
    589.68x = 369,368.61
  5. Step 5: Solve for x
    x = 369,368.61/589.68
  6. Step 6: Final answer
    x = 626.39

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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.