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Finding the Fourth Proportional to 531, 733.14 and 406.98

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Solution

The fourth proportional to 531, 733.14 and 406.98 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531 : 733.14 = 406.98 : x
  2. Step 2: Convert to fraction form
    531/733.14 = 406.98/x
  3. Step 3: Cross multiply
    531x = 733.14 × 406.98
  4. Step 4: Simplify right side
    531x = 298,373.32
  5. Step 5: Solve for x
    x = 298,373.32/531
  6. Step 6: Final answer
    x = 561.91

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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.