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Finding the Fourth Proportional to 518.16, 714.52 and 401.52

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Solution

The fourth proportional to 518.16, 714.52 and 401.52 is: 553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 714.52 = 401.52 : x
  2. Step 2: Convert to fraction form
    518.16/714.52 = 401.52/x
  3. Step 3: Cross multiply
    518.16x = 714.52 × 401.52
  4. Step 4: Simplify right side
    518.16x = 286,894.07
  5. Step 5: Solve for x
    x = 286,894.07/518.16
  6. Step 6: Final answer
    x = 553.68

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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.