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Finding the Fourth Proportional to 526.95, 786.78 and 494.15

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Solution

The fourth proportional to 526.95, 786.78 and 494.15 is: 737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.95 : 786.78 = 494.15 : x
  2. Step 2: Convert to fraction form
    526.95/786.78 = 494.15/x
  3. Step 3: Cross multiply
    526.95x = 786.78 × 494.15
  4. Step 4: Simplify right side
    526.95x = 388,786.61
  5. Step 5: Solve for x
    x = 388,786.61/526.95
  6. Step 6: Final answer
    x = 737.80

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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.