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Finding the Fourth Proportional to 690.86, 953.16 and 425.03

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Solution

The fourth proportional to 690.86, 953.16 and 425.03 is: 586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 953.16 = 425.03 : x
  2. Step 2: Convert to fraction form
    690.86/953.16 = 425.03/x
  3. Step 3: Cross multiply
    690.86x = 953.16 × 425.03
  4. Step 4: Simplify right side
    690.86x = 405,120.60
  5. Step 5: Solve for x
    x = 405,120.60/690.86
  6. Step 6: Final answer
    x = 586.40

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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.