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Finding the Fourth Proportional to 525.75, 785.51 and 507.57

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Solution

The fourth proportional to 525.75, 785.51 and 507.57 is: 758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 785.51 = 507.57 : x
  2. Step 2: Convert to fraction form
    525.75/785.51 = 507.57/x
  3. Step 3: Cross multiply
    525.75x = 785.51 × 507.57
  4. Step 4: Simplify right side
    525.75x = 398,698.77
  5. Step 5: Solve for x
    x = 398,698.77/525.75
  6. Step 6: Final answer
    x = 758.34

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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.