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Finding the Fourth Proportional to 698.90, 1,049.58 and 590.63

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Solution

The fourth proportional to 698.90, 1,049.58 and 590.63 is: 886.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 1,049.58 = 590.63 : x
  2. Step 2: Convert to fraction form
    698.90/1,049.58 = 590.63/x
  3. Step 3: Cross multiply
    698.90x = 1,049.58 × 590.63
  4. Step 4: Simplify right side
    698.90x = 619,908.19
  5. Step 5: Solve for x
    x = 619,908.19/698.90
  6. Step 6: Final answer
    x = 886.98

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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.