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Finding the Fourth Proportional to 524.84, 786.60 and 511.21

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Solution

The fourth proportional to 524.84, 786.60 and 511.21 is: 766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.84 : 786.60 = 511.21 : x
  2. Step 2: Convert to fraction form
    524.84/786.60 = 511.21/x
  3. Step 3: Cross multiply
    524.84x = 786.60 × 511.21
  4. Step 4: Simplify right side
    524.84x = 402,117.79
  5. Step 5: Solve for x
    x = 402,117.79/524.84
  6. Step 6: Final answer
    x = 766.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.