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Finding the Fourth Proportional to 1,210.91, 1,670.48 and 713.23

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Solution

The fourth proportional to 1,210.91, 1,670.48 and 713.23 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.91 : 1,670.48 = 713.23 : x
  2. Step 2: Convert to fraction form
    1,210.91/1,670.48 = 713.23/x
  3. Step 3: Cross multiply
    1,210.91x = 1,670.48 × 713.23
  4. Step 4: Simplify right side
    1,210.91x = 1,191,436.45
  5. Step 5: Solve for x
    x = 1,191,436.45/1,210.91
  6. Step 6: Final answer
    x = 983.92

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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.