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Finding the Fourth Proportional to 629.95, 869.36 and 368.05

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Solution

The fourth proportional to 629.95, 869.36 and 368.05 is: 507.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.95 : 869.36 = 368.05 : x
  2. Step 2: Convert to fraction form
    629.95/869.36 = 368.05/x
  3. Step 3: Cross multiply
    629.95x = 869.36 × 368.05
  4. Step 4: Simplify right side
    629.95x = 319,967.95
  5. Step 5: Solve for x
    x = 319,967.95/629.95
  6. Step 6: Final answer
    x = 507.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.