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Finding the Fourth Proportional to 531.08, 793.54 and 407

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Solution

The fourth proportional to 531.08, 793.54 and 407 is: 608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.08 : 793.54 = 407 : x
  2. Step 2: Convert to fraction form
    531.08/793.54 = 407/x
  3. Step 3: Cross multiply
    531.08x = 793.54 × 407
  4. Step 4: Simplify right side
    531.08x = 322,970.78
  5. Step 5: Solve for x
    x = 322,970.78/531.08
  6. Step 6: Final answer
    x = 608.14

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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.