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Finding the Fourth Proportional to 785.69, 1,084.15 and 471.01

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Solution

The fourth proportional to 785.69, 1,084.15 and 471.01 is: 649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.69 : 1,084.15 = 471.01 : x
  2. Step 2: Convert to fraction form
    785.69/1,084.15 = 471.01/x
  3. Step 3: Cross multiply
    785.69x = 1,084.15 × 471.01
  4. Step 4: Simplify right side
    785.69x = 510,645.49
  5. Step 5: Solve for x
    x = 510,645.49/785.69
  6. Step 6: Final answer
    x = 649.93

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Double scale
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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.