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Finding the Fourth Proportional to 648.68, 896.10 and 616.28

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Solution

The fourth proportional to 648.68, 896.10 and 616.28 is: 851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.68 : 896.10 = 616.28 : x
  2. Step 2: Convert to fraction form
    648.68/896.10 = 616.28/x
  3. Step 3: Cross multiply
    648.68x = 896.10 × 616.28
  4. Step 4: Simplify right side
    648.68x = 552,248.51
  5. Step 5: Solve for x
    x = 552,248.51/648.68
  6. Step 6: Final answer
    x = 851.34

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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.