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Finding the Fourth Proportional to 616.54, 848.86 and 585.76

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Solution

The fourth proportional to 616.54, 848.86 and 585.76 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.54 : 848.86 = 585.76 : x
  2. Step 2: Convert to fraction form
    616.54/848.86 = 585.76/x
  3. Step 3: Cross multiply
    616.54x = 848.86 × 585.76
  4. Step 4: Simplify right side
    616.54x = 497,228.23
  5. Step 5: Solve for x
    x = 497,228.23/616.54
  6. Step 6: Final answer
    x = 806.48

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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.