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Finding the Fourth Proportional to 649.98, 897.10 and 428.94

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Solution

The fourth proportional to 649.98, 897.10 and 428.94 is: 592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 897.10 = 428.94 : x
  2. Step 2: Convert to fraction form
    649.98/897.10 = 428.94/x
  3. Step 3: Cross multiply
    649.98x = 897.10 × 428.94
  4. Step 4: Simplify right side
    649.98x = 384,802.07
  5. Step 5: Solve for x
    x = 384,802.07/649.98
  6. Step 6: Final answer
    x = 592.02

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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.