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Finding the Fourth Proportional to 524.89, 786.76 and 500.66

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Solution

The fourth proportional to 524.89, 786.76 and 500.66 is: 750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.89 : 786.76 = 500.66 : x
  2. Step 2: Convert to fraction form
    524.89/786.76 = 500.66/x
  3. Step 3: Cross multiply
    524.89x = 786.76 × 500.66
  4. Step 4: Simplify right side
    524.89x = 393,894.08
  5. Step 5: Solve for x
    x = 393,894.08/524.89
  6. Step 6: Final answer
    x = 750.44

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1.5x scale

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.