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Finding the Fourth Proportional to 1,210.08, 1,669.62 and 712.68

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Solution

The fourth proportional to 1,210.08, 1,669.62 and 712.68 is: 983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.08 : 1,669.62 = 712.68 : x
  2. Step 2: Convert to fraction form
    1,210.08/1,669.62 = 712.68/x
  3. Step 3: Cross multiply
    1,210.08x = 1,669.62 × 712.68
  4. Step 4: Simplify right side
    1,210.08x = 1,189,904.78
  5. Step 5: Solve for x
    x = 1,189,904.78/1,210.08
  6. Step 6: Final answer
    x = 983.33

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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.