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Finding the Fourth Proportional to 689.99, 1,035.93 and 587.93

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Solution

The fourth proportional to 689.99, 1,035.93 and 587.93 is: 882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.99 : 1,035.93 = 587.93 : x
  2. Step 2: Convert to fraction form
    689.99/1,035.93 = 587.93/x
  3. Step 3: Cross multiply
    689.99x = 1,035.93 × 587.93
  4. Step 4: Simplify right side
    689.99x = 609,054.32
  5. Step 5: Solve for x
    x = 609,054.32/689.99
  6. Step 6: Final answer
    x = 882.70

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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.