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Finding the Fourth Proportional to 684.99, 943.20 and 586.53

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Solution

The fourth proportional to 684.99, 943.20 and 586.53 is: 807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 943.20 = 586.53 : x
  2. Step 2: Convert to fraction form
    684.99/943.20 = 586.53/x
  3. Step 3: Cross multiply
    684.99x = 943.20 × 586.53
  4. Step 4: Simplify right side
    684.99x = 553,215.10
  5. Step 5: Solve for x
    x = 553,215.10/684.99
  6. Step 6: Final answer
    x = 807.63

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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.