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Finding the Fourth Proportional to 690.98, 1,035.45 and 471.47

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Solution

The fourth proportional to 690.98, 1,035.45 and 471.47 is: 706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 1,035.45 = 471.47 : x
  2. Step 2: Convert to fraction form
    690.98/1,035.45 = 471.47/x
  3. Step 3: Cross multiply
    690.98x = 1,035.45 × 471.47
  4. Step 4: Simplify right side
    690.98x = 488,178.43
  5. Step 5: Solve for x
    x = 488,178.43/690.98
  6. Step 6: Final answer
    x = 706.51

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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.