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Finding the Fourth Proportional to 883.50, 1,218.69 and 709.26

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Solution

The fourth proportional to 883.50, 1,218.69 and 709.26 is: 978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.50 : 1,218.69 = 709.26 : x
  2. Step 2: Convert to fraction form
    883.50/1,218.69 = 709.26/x
  3. Step 3: Cross multiply
    883.50x = 1,218.69 × 709.26
  4. Step 4: Simplify right side
    883.50x = 864,368.07
  5. Step 5: Solve for x
    x = 864,368.07/883.50
  6. Step 6: Final answer
    x = 978.35

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Double scale
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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.