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Finding the Fourth Proportional to 690.15, 951.29 and 540.52

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Solution

The fourth proportional to 690.15, 951.29 and 540.52 is: 745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.15 : 951.29 = 540.52 : x
  2. Step 2: Convert to fraction form
    690.15/951.29 = 540.52/x
  3. Step 3: Cross multiply
    690.15x = 951.29 × 540.52
  4. Step 4: Simplify right side
    690.15x = 514,186.51
  5. Step 5: Solve for x
    x = 514,186.51/690.15
  6. Step 6: Final answer
    x = 745.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.