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Finding the Fourth Proportional to 525.56, 785.50 and 459.15

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Solution

The fourth proportional to 525.56, 785.50 and 459.15 is: 686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 785.50 = 459.15 : x
  2. Step 2: Convert to fraction form
    525.56/785.50 = 459.15/x
  3. Step 3: Cross multiply
    525.56x = 785.50 × 459.15
  4. Step 4: Simplify right side
    525.56x = 360,662.65
  5. Step 5: Solve for x
    x = 360,662.65/525.56
  6. Step 6: Final answer
    x = 686.25

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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.