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Finding the Fourth Proportional to 875.23, 1,207.66 and 709.16

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Solution

The fourth proportional to 875.23, 1,207.66 and 709.16 is: 978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.23 : 1,207.66 = 709.16 : x
  2. Step 2: Convert to fraction form
    875.23/1,207.66 = 709.16/x
  3. Step 3: Cross multiply
    875.23x = 1,207.66 × 709.16
  4. Step 4: Simplify right side
    875.23x = 856,417.68
  5. Step 5: Solve for x
    x = 856,417.68/875.23
  6. Step 6: Final answer
    x = 978.51

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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.