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Finding the Fourth Proportional to 524.39, 722.76 and 358.31

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Solution

The fourth proportional to 524.39, 722.76 and 358.31 is: 493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 722.76 = 358.31 : x
  2. Step 2: Convert to fraction form
    524.39/722.76 = 358.31/x
  3. Step 3: Cross multiply
    524.39x = 722.76 × 358.31
  4. Step 4: Simplify right side
    524.39x = 258,973.94
  5. Step 5: Solve for x
    x = 258,973.94/524.39
  6. Step 6: Final answer
    x = 493.86

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1.5x scale

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.