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Finding the Fourth Proportional to 584.40, 880.63 and 483.95

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Solution

The fourth proportional to 584.40, 880.63 and 483.95 is: 729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 880.63 = 483.95 : x
  2. Step 2: Convert to fraction form
    584.40/880.63 = 483.95/x
  3. Step 3: Cross multiply
    584.40x = 880.63 × 483.95
  4. Step 4: Simplify right side
    584.40x = 426,180.89
  5. Step 5: Solve for x
    x = 426,180.89/584.40
  6. Step 6: Final answer
    x = 729.26

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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.