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Finding the Fourth Proportional to 648.78, 895.43 and 386.74

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Solution

The fourth proportional to 648.78, 895.43 and 386.74 is: 533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.78 : 895.43 = 386.74 : x
  2. Step 2: Convert to fraction form
    648.78/895.43 = 386.74/x
  3. Step 3: Cross multiply
    648.78x = 895.43 × 386.74
  4. Step 4: Simplify right side
    648.78x = 346,298.60
  5. Step 5: Solve for x
    x = 346,298.60/648.78
  6. Step 6: Final answer
    x = 533.77

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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.