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Finding the Fourth Proportional to 1,210.38, 1,670.27 and 713.04

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Solution

The fourth proportional to 1,210.38, 1,670.27 and 713.04 is: 983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.38 : 1,670.27 = 713.04 : x
  2. Step 2: Convert to fraction form
    1,210.38/1,670.27 = 713.04/x
  3. Step 3: Cross multiply
    1,210.38x = 1,670.27 × 713.04
  4. Step 4: Simplify right side
    1,210.38x = 1,190,963.50
  5. Step 5: Solve for x
    x = 1,190,963.50/1,210.38
  6. Step 6: Final answer
    x = 983.96

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1.5x scale

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.