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Finding the Fourth Proportional to 983.63, 1,357.59 and 585.38

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Solution

The fourth proportional to 983.63, 1,357.59 and 585.38 is: 807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.63 : 1,357.59 = 585.38 : x
  2. Step 2: Convert to fraction form
    983.63/1,357.59 = 585.38/x
  3. Step 3: Cross multiply
    983.63x = 1,357.59 × 585.38
  4. Step 4: Simplify right side
    983.63x = 794,699.25
  5. Step 5: Solve for x
    x = 794,699.25/983.63
  6. Step 6: Final answer
    x = 807.93

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Double scale
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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.