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Finding the Fourth Proportional to 979.16, 1,470.76 and 946.35

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Solution

The fourth proportional to 979.16, 1,470.76 and 946.35 is: 1,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.16 : 1,470.76 = 946.35 : x
  2. Step 2: Convert to fraction form
    979.16/1,470.76 = 946.35/x
  3. Step 3: Cross multiply
    979.16x = 1,470.76 × 946.35
  4. Step 4: Simplify right side
    979.16x = 1,391,851.36
  5. Step 5: Solve for x
    x = 1,391,851.36/979.16
  6. Step 6: Final answer
    x = 1,421.48

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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.