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Finding the Fourth Proportional to 525.40, 722.46 and 509.20

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Solution

The fourth proportional to 525.40, 722.46 and 509.20 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 722.46 = 509.20 : x
  2. Step 2: Convert to fraction form
    525.40/722.46 = 509.20/x
  3. Step 3: Cross multiply
    525.40x = 722.46 × 509.20
  4. Step 4: Simplify right side
    525.40x = 367,876.63
  5. Step 5: Solve for x
    x = 367,876.63/525.40
  6. Step 6: Final answer
    x = 700.18

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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.