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Finding the Fourth Proportional to 522.29, 777.88 and 507.94

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Solution

The fourth proportional to 522.29, 777.88 and 507.94 is: 756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.29 : 777.88 = 507.94 : x
  2. Step 2: Convert to fraction form
    522.29/777.88 = 507.94/x
  3. Step 3: Cross multiply
    522.29x = 777.88 × 507.94
  4. Step 4: Simplify right side
    522.29x = 395,116.37
  5. Step 5: Solve for x
    x = 395,116.37/522.29
  6. Step 6: Final answer
    x = 756.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.