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Finding the Fourth Proportional to 898.51, 1,239 and 583.42

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Solution

The fourth proportional to 898.51, 1,239 and 583.42 is: 804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.51 : 1,239 = 583.42 : x
  2. Step 2: Convert to fraction form
    898.51/1,239 = 583.42/x
  3. Step 3: Cross multiply
    898.51x = 1,239 × 583.42
  4. Step 4: Simplify right side
    898.51x = 722,857.38
  5. Step 5: Solve for x
    x = 722,857.38/898.51
  6. Step 6: Final answer
    x = 804.51

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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.