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Finding the Fourth Proportional to 1,210.53, 1,670.66 and 686.50

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Solution

The fourth proportional to 1,210.53, 1,670.66 and 686.50 is: 947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.53 : 1,670.66 = 686.50 : x
  2. Step 2: Convert to fraction form
    1,210.53/1,670.66 = 686.50/x
  3. Step 3: Cross multiply
    1,210.53x = 1,670.66 × 686.50
  4. Step 4: Simplify right side
    1,210.53x = 1,146,908.09
  5. Step 5: Solve for x
    x = 1,146,908.09/1,210.53
  6. Step 6: Final answer
    x = 947.44

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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.