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Finding the Fourth Proportional to 1,570.16, 2,166.72 and 980.66

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Solution

The fourth proportional to 1,570.16, 2,166.72 and 980.66 is: 1,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.16 : 2,166.72 = 980.66 : x
  2. Step 2: Convert to fraction form
    1,570.16/2,166.72 = 980.66/x
  3. Step 3: Cross multiply
    1,570.16x = 2,166.72 × 980.66
  4. Step 4: Simplify right side
    1,570.16x = 2,124,815.64
  5. Step 5: Solve for x
    x = 2,124,815.64/1,570.16
  6. Step 6: Final answer
    x = 1,353.25

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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.