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Finding the Fourth Proportional to 438.72, 604.73 and 402.98

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Solution

The fourth proportional to 438.72, 604.73 and 402.98 is: 555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 604.73 = 402.98 : x
  2. Step 2: Convert to fraction form
    438.72/604.73 = 402.98/x
  3. Step 3: Cross multiply
    438.72x = 604.73 × 402.98
  4. Step 4: Simplify right side
    438.72x = 243,689.06
  5. Step 5: Solve for x
    x = 243,689.06/438.72
  6. Step 6: Final answer
    x = 555.45

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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.