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Finding the Fourth Proportional to 525.59, 786.74 and 340.25

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Solution

The fourth proportional to 525.59, 786.74 and 340.25 is: 509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.59 : 786.74 = 340.25 : x
  2. Step 2: Convert to fraction form
    525.59/786.74 = 340.25/x
  3. Step 3: Cross multiply
    525.59x = 786.74 × 340.25
  4. Step 4: Simplify right side
    525.59x = 267,682.65
  5. Step 5: Solve for x
    x = 267,682.65/525.59
  6. Step 6: Final answer
    x = 509.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.