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Finding the Fourth Proportional to 525.16, 723.18 and 513.80

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Solution

The fourth proportional to 525.16, 723.18 and 513.80 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 723.18 = 513.80 : x
  2. Step 2: Convert to fraction form
    525.16/723.18 = 513.80/x
  3. Step 3: Cross multiply
    525.16x = 723.18 × 513.80
  4. Step 4: Simplify right side
    525.16x = 371,569.88
  5. Step 5: Solve for x
    x = 371,569.88/525.16
  6. Step 6: Final answer
    x = 707.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.