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Finding the Fourth Proportional to 1,210.08, 1,670.08 and 686.08

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Solution

The fourth proportional to 1,210.08, 1,670.08 and 686.08 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.08 : 1,670.08 = 686.08 : x
  2. Step 2: Convert to fraction form
    1,210.08/1,670.08 = 686.08/x
  3. Step 3: Cross multiply
    1,210.08x = 1,670.08 × 686.08
  4. Step 4: Simplify right side
    1,210.08x = 1,145,808.49
  5. Step 5: Solve for x
    x = 1,145,808.49/1,210.08
  6. Step 6: Final answer
    x = 946.89

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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.