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Finding the Fourth Proportional to 586.53, 808.03 and 409.17

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Solution

The fourth proportional to 586.53, 808.03 and 409.17 is: 563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.53 : 808.03 = 409.17 : x
  2. Step 2: Convert to fraction form
    586.53/808.03 = 409.17/x
  3. Step 3: Cross multiply
    586.53x = 808.03 × 409.17
  4. Step 4: Simplify right side
    586.53x = 330,617.59
  5. Step 5: Solve for x
    x = 330,617.59/586.53
  6. Step 6: Final answer
    x = 563.68

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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.