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Finding the Fourth Proportional to 525.68, 785.32 and 487.52

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Solution

The fourth proportional to 525.68, 785.32 and 487.52 is: 728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.68 : 785.32 = 487.52 : x
  2. Step 2: Convert to fraction form
    525.68/785.32 = 487.52/x
  3. Step 3: Cross multiply
    525.68x = 785.32 × 487.52
  4. Step 4: Simplify right side
    525.68x = 382,859.21
  5. Step 5: Solve for x
    x = 382,859.21/525.68
  6. Step 6: Final answer
    x = 728.31

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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.