Home / 649.02-895.26-416.14

Finding the Fourth Proportional to 649.02, 895.26 and 416.14

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Solution

The fourth proportional to 649.02, 895.26 and 416.14 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 895.26 = 416.14 : x
  2. Step 2: Convert to fraction form
    649.02/895.26 = 416.14/x
  3. Step 3: Cross multiply
    649.02x = 895.26 × 416.14
  4. Step 4: Simplify right side
    649.02x = 372,553.50
  5. Step 5: Solve for x
    x = 372,553.50/649.02
  6. Step 6: Final answer
    x = 574.02

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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.