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Finding the Fourth Proportional to 783.34, 1,175.25 and 471.33

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Solution

The fourth proportional to 783.34, 1,175.25 and 471.33 is: 707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,175.25 = 471.33 : x
  2. Step 2: Convert to fraction form
    783.34/1,175.25 = 471.33/x
  3. Step 3: Cross multiply
    783.34x = 1,175.25 × 471.33
  4. Step 4: Simplify right side
    783.34x = 553,927.56
  5. Step 5: Solve for x
    x = 553,927.56/783.34
  6. Step 6: Final answer
    x = 707.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.