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Finding the Fourth Proportional to 616.09, 848.84 and 429.06

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Solution

The fourth proportional to 616.09, 848.84 and 429.06 is: 591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.09 : 848.84 = 429.06 : x
  2. Step 2: Convert to fraction form
    616.09/848.84 = 429.06/x
  3. Step 3: Cross multiply
    616.09x = 848.84 × 429.06
  4. Step 4: Simplify right side
    616.09x = 364,203.29
  5. Step 5: Solve for x
    x = 364,203.29/616.09
  6. Step 6: Final answer
    x = 591.15

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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.