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Finding the Fourth Proportional to 648.77, 895.13 and 400.14

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Solution

The fourth proportional to 648.77, 895.13 and 400.14 is: 552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.77 : 895.13 = 400.14 : x
  2. Step 2: Convert to fraction form
    648.77/895.13 = 400.14/x
  3. Step 3: Cross multiply
    648.77x = 895.13 × 400.14
  4. Step 4: Simplify right side
    648.77x = 358,175.32
  5. Step 5: Solve for x
    x = 358,175.32/648.77
  6. Step 6: Final answer
    x = 552.09

Related Problems

Find fourth proportional to 324.38, 447.56 and 200.07
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1.5x scale

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.