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Finding the Fourth Proportional to 649.40, 895.19 and 509.22

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Solution

The fourth proportional to 649.40, 895.19 and 509.22 is: 701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 895.19 = 509.22 : x
  2. Step 2: Convert to fraction form
    649.40/895.19 = 509.22/x
  3. Step 3: Cross multiply
    649.40x = 895.19 × 509.22
  4. Step 4: Simplify right side
    649.40x = 455,846.11
  5. Step 5: Solve for x
    x = 455,846.11/649.40
  6. Step 6: Final answer
    x = 701.96

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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.