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Finding the Fourth Proportional to 783.08, 1,173.29 and 473.99

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Solution

The fourth proportional to 783.08, 1,173.29 and 473.99 is: 710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.08 : 1,173.29 = 473.99 : x
  2. Step 2: Convert to fraction form
    783.08/1,173.29 = 473.99/x
  3. Step 3: Cross multiply
    783.08x = 1,173.29 × 473.99
  4. Step 4: Simplify right side
    783.08x = 556,131.85
  5. Step 5: Solve for x
    x = 556,131.85/783.08
  6. Step 6: Final answer
    x = 710.19

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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.