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Finding the Fourth Proportional to 634.90, 877.62 and 583.87

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Solution

The fourth proportional to 634.90, 877.62 and 583.87 is: 807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.90 : 877.62 = 583.87 : x
  2. Step 2: Convert to fraction form
    634.90/877.62 = 583.87/x
  3. Step 3: Cross multiply
    634.90x = 877.62 × 583.87
  4. Step 4: Simplify right side
    634.90x = 512,415.99
  5. Step 5: Solve for x
    x = 512,415.99/634.90
  6. Step 6: Final answer
    x = 807.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.