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Finding the Fourth Proportional to 1,210.21, 1,670.06 and 706.16

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Solution

The fourth proportional to 1,210.21, 1,670.06 and 706.16 is: 974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.21 : 1,670.06 = 706.16 : x
  2. Step 2: Convert to fraction form
    1,210.21/1,670.06 = 706.16/x
  3. Step 3: Cross multiply
    1,210.21x = 1,670.06 × 706.16
  4. Step 4: Simplify right side
    1,210.21x = 1,179,329.57
  5. Step 5: Solve for x
    x = 1,179,329.57/1,210.21
  6. Step 6: Final answer
    x = 974.48

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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.