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Finding the Fourth Proportional to 787.50, 1,084.77 and 590.76

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Solution

The fourth proportional to 787.50, 1,084.77 and 590.76 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,084.77 = 590.76 : x
  2. Step 2: Convert to fraction form
    787.50/1,084.77 = 590.76/x
  3. Step 3: Cross multiply
    787.50x = 1,084.77 × 590.76
  4. Step 4: Simplify right side
    787.50x = 640,838.73
  5. Step 5: Solve for x
    x = 640,838.73/787.50
  6. Step 6: Final answer
    x = 813.76

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1.5x scale

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.