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Finding the Fourth Proportional to 1,210.77, 1,670.90 and 686.88

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Solution

The fourth proportional to 1,210.77, 1,670.90 and 686.88 is: 947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.77 : 1,670.90 = 686.88 : x
  2. Step 2: Convert to fraction form
    1,210.77/1,670.90 = 686.88/x
  3. Step 3: Cross multiply
    1,210.77x = 1,670.90 × 686.88
  4. Step 4: Simplify right side
    1,210.77x = 1,147,704.36
  5. Step 5: Solve for x
    x = 1,147,704.36/1,210.77
  6. Step 6: Final answer
    x = 947.91

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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.