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Finding the Fourth Proportional to 690.57, 953.10 and 469.40

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Solution

The fourth proportional to 690.57, 953.10 and 469.40 is: 647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.57 : 953.10 = 469.40 : x
  2. Step 2: Convert to fraction form
    690.57/953.10 = 469.40/x
  3. Step 3: Cross multiply
    690.57x = 953.10 × 469.40
  4. Step 4: Simplify right side
    690.57x = 447,380.37
  5. Step 5: Solve for x
    x = 447,380.37/690.57
  6. Step 6: Final answer
    x = 647.84

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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.