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Finding the Fourth Proportional to 783.89, 1,176.24 and 345.45

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Solution

The fourth proportional to 783.89, 1,176.24 and 345.45 is: 518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.89 : 1,176.24 = 345.45 : x
  2. Step 2: Convert to fraction form
    783.89/1,176.24 = 345.45/x
  3. Step 3: Cross multiply
    783.89x = 1,176.24 × 345.45
  4. Step 4: Simplify right side
    783.89x = 406,332.11
  5. Step 5: Solve for x
    x = 406,332.11/783.89
  6. Step 6: Final answer
    x = 518.35

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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.