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Finding the Fourth Proportional to 649.02, 893.46 and 586.67

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Solution

The fourth proportional to 649.02, 893.46 and 586.67 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.02 : 893.46 = 586.67 : x
  2. Step 2: Convert to fraction form
    649.02/893.46 = 586.67/x
  3. Step 3: Cross multiply
    649.02x = 893.46 × 586.67
  4. Step 4: Simplify right side
    649.02x = 524,161.71
  5. Step 5: Solve for x
    x = 524,161.71/649.02
  6. Step 6: Final answer
    x = 807.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.