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Finding the Fourth Proportional to 649.03, 894.97 and 530.11

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Solution

The fourth proportional to 649.03, 894.97 and 530.11 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.03 : 894.97 = 530.11 : x
  2. Step 2: Convert to fraction form
    649.03/894.97 = 530.11/x
  3. Step 3: Cross multiply
    649.03x = 894.97 × 530.11
  4. Step 4: Simplify right side
    649.03x = 474,435.82
  5. Step 5: Solve for x
    x = 474,435.82/649.03
  6. Step 6: Final answer
    x = 730.99

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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.