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Finding the Fourth Proportional to 713.83, 985.10 and 419.10

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Solution

The fourth proportional to 713.83, 985.10 and 419.10 is: 578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.83 : 985.10 = 419.10 : x
  2. Step 2: Convert to fraction form
    713.83/985.10 = 419.10/x
  3. Step 3: Cross multiply
    713.83x = 985.10 × 419.10
  4. Step 4: Simplify right side
    713.83x = 412,855.93
  5. Step 5: Solve for x
    x = 412,855.93/713.83
  6. Step 6: Final answer
    x = 578.37

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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.