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Finding the Fourth Proportional to 524.72, 776.10 and 524.72

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Solution

The fourth proportional to 524.72, 776.10 and 524.72 is: 776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 776.10 = 524.72 : x
  2. Step 2: Convert to fraction form
    524.72/776.10 = 524.72/x
  3. Step 3: Cross multiply
    524.72x = 776.10 × 524.72
  4. Step 4: Simplify right side
    524.72x = 407,239.10
  5. Step 5: Solve for x
    x = 407,239.10/524.72
  6. Step 6: Final answer
    x = 776.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.