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Finding the Fourth Proportional to 855.65, 1,177.72 and 714.17

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Solution

The fourth proportional to 855.65, 1,177.72 and 714.17 is: 982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.65 : 1,177.72 = 714.17 : x
  2. Step 2: Convert to fraction form
    855.65/1,177.72 = 714.17/x
  3. Step 3: Cross multiply
    855.65x = 1,177.72 × 714.17
  4. Step 4: Simplify right side
    855.65x = 841,090.84
  5. Step 5: Solve for x
    x = 841,090.84/855.65
  6. Step 6: Final answer
    x = 982.99

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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.