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Finding the Fourth Proportional to 1,364.56, 2,047.02 and 498.58

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Solution

The fourth proportional to 1,364.56, 2,047.02 and 498.58 is: 747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.56 : 2,047.02 = 498.58 : x
  2. Step 2: Convert to fraction form
    1,364.56/2,047.02 = 498.58/x
  3. Step 3: Cross multiply
    1,364.56x = 2,047.02 × 498.58
  4. Step 4: Simplify right side
    1,364.56x = 1,020,603.23
  5. Step 5: Solve for x
    x = 1,020,603.23/1,364.56
  6. Step 6: Final answer
    x = 747.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.