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Finding the Fourth Proportional to 622.99, 935.70 and 507.52

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Solution

The fourth proportional to 622.99, 935.70 and 507.52 is: 762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.99 : 935.70 = 507.52 : x
  2. Step 2: Convert to fraction form
    622.99/935.70 = 507.52/x
  3. Step 3: Cross multiply
    622.99x = 935.70 × 507.52
  4. Step 4: Simplify right side
    622.99x = 474,886.46
  5. Step 5: Solve for x
    x = 474,886.46/622.99
  6. Step 6: Final answer
    x = 762.27

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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.