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Finding the Fourth Proportional to 1,319.35, 1,978.65 and 497.02

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Solution

The fourth proportional to 1,319.35, 1,978.65 and 497.02 is: 745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.35 : 1,978.65 = 497.02 : x
  2. Step 2: Convert to fraction form
    1,319.35/1,978.65 = 497.02/x
  3. Step 3: Cross multiply
    1,319.35x = 1,978.65 × 497.02
  4. Step 4: Simplify right side
    1,319.35x = 983,428.62
  5. Step 5: Solve for x
    x = 983,428.62/1,319.35
  6. Step 6: Final answer
    x = 745.39

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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.