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Finding the Fourth Proportional to 787.88, 1,176.76 and 570.80

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Solution

The fourth proportional to 787.88, 1,176.76 and 570.80 is: 852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.88 : 1,176.76 = 570.80 : x
  2. Step 2: Convert to fraction form
    787.88/1,176.76 = 570.80/x
  3. Step 3: Cross multiply
    787.88x = 1,176.76 × 570.80
  4. Step 4: Simplify right side
    787.88x = 671,694.61
  5. Step 5: Solve for x
    x = 671,694.61/787.88
  6. Step 6: Final answer
    x = 852.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.