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Finding the Fourth Proportional to 585.18, 807.01 and 419.53

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Solution

The fourth proportional to 585.18, 807.01 and 419.53 is: 578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.18 : 807.01 = 419.53 : x
  2. Step 2: Convert to fraction form
    585.18/807.01 = 419.53/x
  3. Step 3: Cross multiply
    585.18x = 807.01 × 419.53
  4. Step 4: Simplify right side
    585.18x = 338,564.91
  5. Step 5: Solve for x
    x = 338,564.91/585.18
  6. Step 6: Final answer
    x = 578.57

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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.