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Finding the Fourth Proportional to 898.47, 1,239.70 and 583.78

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Solution

The fourth proportional to 898.47, 1,239.70 and 583.78 is: 805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.47 : 1,239.70 = 583.78 : x
  2. Step 2: Convert to fraction form
    898.47/1,239.70 = 583.78/x
  3. Step 3: Cross multiply
    898.47x = 1,239.70 × 583.78
  4. Step 4: Simplify right side
    898.47x = 723,712.07
  5. Step 5: Solve for x
    x = 723,712.07/898.47
  6. Step 6: Final answer
    x = 805.49

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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.