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Finding the Fourth Proportional to 524.63, 724 and 291.77

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Solution

The fourth proportional to 524.63, 724 and 291.77 is: 402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 724 = 291.77 : x
  2. Step 2: Convert to fraction form
    524.63/724 = 291.77/x
  3. Step 3: Cross multiply
    524.63x = 724 × 291.77
  4. Step 4: Simplify right side
    524.63x = 211,241.48
  5. Step 5: Solve for x
    x = 211,241.48/524.63
  6. Step 6: Final answer
    x = 402.65

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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.