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Finding the Fourth Proportional to 688.99, 1,034.43 and 586.93

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Solution

The fourth proportional to 688.99, 1,034.43 and 586.93 is: 881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.99 : 1,034.43 = 586.93 : x
  2. Step 2: Convert to fraction form
    688.99/1,034.43 = 586.93/x
  3. Step 3: Cross multiply
    688.99x = 1,034.43 × 586.93
  4. Step 4: Simplify right side
    688.99x = 607,138.00
  5. Step 5: Solve for x
    x = 607,138.00/688.99
  6. Step 6: Final answer
    x = 881.20

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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.