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Finding the Fourth Proportional to 763.16, 1,145.22 and 373.40

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Solution

The fourth proportional to 763.16, 1,145.22 and 373.40 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.16 : 1,145.22 = 373.40 : x
  2. Step 2: Convert to fraction form
    763.16/1,145.22 = 373.40/x
  3. Step 3: Cross multiply
    763.16x = 1,145.22 × 373.40
  4. Step 4: Simplify right side
    763.16x = 427,625.15
  5. Step 5: Solve for x
    x = 427,625.15/763.16
  6. Step 6: Final answer
    x = 560.33

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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.