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Finding the Fourth Proportional to 983.68, 1,357.90 and 590.63

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Solution

The fourth proportional to 983.68, 1,357.90 and 590.63 is: 815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.68 : 1,357.90 = 590.63 : x
  2. Step 2: Convert to fraction form
    983.68/1,357.90 = 590.63/x
  3. Step 3: Cross multiply
    983.68x = 1,357.90 × 590.63
  4. Step 4: Simplify right side
    983.68x = 802,008.21
  5. Step 5: Solve for x
    x = 802,008.21/983.68
  6. Step 6: Final answer
    x = 815.32

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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.