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Finding the Fourth Proportional to 525.40, 725 and 292.50

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Solution

The fourth proportional to 525.40, 725 and 292.50 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 725 = 292.50 : x
  2. Step 2: Convert to fraction form
    525.40/725 = 292.50/x
  3. Step 3: Cross multiply
    525.40x = 725 × 292.50
  4. Step 4: Simplify right side
    525.40x = 212,062.50
  5. Step 5: Solve for x
    x = 212,062.50/525.40
  6. Step 6: Final answer
    x = 403.62

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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.