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Finding the Fourth Proportional to 622.55, 935.04 and 507.08

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Solution

The fourth proportional to 622.55, 935.04 and 507.08 is: 761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.55 : 935.04 = 507.08 : x
  2. Step 2: Convert to fraction form
    622.55/935.04 = 507.08/x
  3. Step 3: Cross multiply
    622.55x = 935.04 × 507.08
  4. Step 4: Simplify right side
    622.55x = 474,144.32
  5. Step 5: Solve for x
    x = 474,144.32/622.55
  6. Step 6: Final answer
    x = 761.61

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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.