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Finding the Fourth Proportional to 648.75, 895.83 and 416.28

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Solution

The fourth proportional to 648.75, 895.83 and 416.28 is: 574.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.75 : 895.83 = 416.28 : x
  2. Step 2: Convert to fraction form
    648.75/895.83 = 416.28/x
  3. Step 3: Cross multiply
    648.75x = 895.83 × 416.28
  4. Step 4: Simplify right side
    648.75x = 372,916.11
  5. Step 5: Solve for x
    x = 372,916.11/648.75
  6. Step 6: Final answer
    x = 574.82

Related Problems

Find fourth proportional to 324.38, 447.92 and 208.14
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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.