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Finding the Fourth Proportional to 783.13, 1,173.15 and 522.36

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Solution

The fourth proportional to 783.13, 1,173.15 and 522.36 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.13 : 1,173.15 = 522.36 : x
  2. Step 2: Convert to fraction form
    783.13/1,173.15 = 522.36/x
  3. Step 3: Cross multiply
    783.13x = 1,173.15 × 522.36
  4. Step 4: Simplify right side
    783.13x = 612,806.63
  5. Step 5: Solve for x
    x = 612,806.63/783.13
  6. Step 6: Final answer
    x = 782.51

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Double scale
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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.