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Finding the Fourth Proportional to 612.21, 913.33 and 524.52

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Solution

The fourth proportional to 612.21, 913.33 and 524.52 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.21 : 913.33 = 524.52 : x
  2. Step 2: Convert to fraction form
    612.21/913.33 = 524.52/x
  3. Step 3: Cross multiply
    612.21x = 913.33 × 524.52
  4. Step 4: Simplify right side
    612.21x = 479,059.85
  5. Step 5: Solve for x
    x = 479,059.85/612.21
  6. Step 6: Final answer
    x = 782.51

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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.