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Finding the Fourth Proportional to 979.40, 1,467.78 and 432.02

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Solution

The fourth proportional to 979.40, 1,467.78 and 432.02 is: 647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.40 : 1,467.78 = 432.02 : x
  2. Step 2: Convert to fraction form
    979.40/1,467.78 = 432.02/x
  3. Step 3: Cross multiply
    979.40x = 1,467.78 × 432.02
  4. Step 4: Simplify right side
    979.40x = 634,110.32
  5. Step 5: Solve for x
    x = 634,110.32/979.40
  6. Step 6: Final answer
    x = 647.45

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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.