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Finding the Fourth Proportional to 531.77, 734.02 and 433.35

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Solution

The fourth proportional to 531.77, 734.02 and 433.35 is: 598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.77 : 734.02 = 433.35 : x
  2. Step 2: Convert to fraction form
    531.77/734.02 = 433.35/x
  3. Step 3: Cross multiply
    531.77x = 734.02 × 433.35
  4. Step 4: Simplify right side
    531.77x = 318,086.48
  5. Step 5: Solve for x
    x = 318,086.48/531.77
  6. Step 6: Final answer
    x = 598.17

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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.