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Finding the Fourth Proportional to 638.16, 952.64 and 556.13

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Solution

The fourth proportional to 638.16, 952.64 and 556.13 is: 830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 952.64 = 556.13 : x
  2. Step 2: Convert to fraction form
    638.16/952.64 = 556.13/x
  3. Step 3: Cross multiply
    638.16x = 952.64 × 556.13
  4. Step 4: Simplify right side
    638.16x = 529,784.14
  5. Step 5: Solve for x
    x = 529,784.14/638.16
  6. Step 6: Final answer
    x = 830.17

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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.