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Finding the Fourth Proportional to 689.91, 1,035.47 and 581.77

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Solution

The fourth proportional to 689.91, 1,035.47 and 581.77 is: 873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 1,035.47 = 581.77 : x
  2. Step 2: Convert to fraction form
    689.91/1,035.47 = 581.77/x
  3. Step 3: Cross multiply
    689.91x = 1,035.47 × 581.77
  4. Step 4: Simplify right side
    689.91x = 602,402.47
  5. Step 5: Solve for x
    x = 602,402.47/689.91
  6. Step 6: Final answer
    x = 873.17

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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.