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Finding the Fourth Proportional to 983.68, 1,357.56 and 590.83

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Solution

The fourth proportional to 983.68, 1,357.56 and 590.83 is: 815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.68 : 1,357.56 = 590.83 : x
  2. Step 2: Convert to fraction form
    983.68/1,357.56 = 590.83/x
  3. Step 3: Cross multiply
    983.68x = 1,357.56 × 590.83
  4. Step 4: Simplify right side
    983.68x = 802,083.78
  5. Step 5: Solve for x
    x = 802,083.78/983.68
  6. Step 6: Final answer
    x = 815.39

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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.