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Finding the Fourth Proportional to 526.70, 786.56 and 520.98

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Solution

The fourth proportional to 526.70, 786.56 and 520.98 is: 778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.70 : 786.56 = 520.98 : x
  2. Step 2: Convert to fraction form
    526.70/786.56 = 520.98/x
  3. Step 3: Cross multiply
    526.70x = 786.56 × 520.98
  4. Step 4: Simplify right side
    526.70x = 409,783.83
  5. Step 5: Solve for x
    x = 409,783.83/526.70
  6. Step 6: Final answer
    x = 778.02

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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.