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Finding the Fourth Proportional to 531.02, 795.06 and 400.63

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Solution

The fourth proportional to 531.02, 795.06 and 400.63 is: 599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 795.06 = 400.63 : x
  2. Step 2: Convert to fraction form
    531.02/795.06 = 400.63/x
  3. Step 3: Cross multiply
    531.02x = 795.06 × 400.63
  4. Step 4: Simplify right side
    531.02x = 318,524.89
  5. Step 5: Solve for x
    x = 318,524.89/531.02
  6. Step 6: Final answer
    x = 599.84

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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.