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Finding the Fourth Proportional to 585.51, 807.63 and 419.67

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Solution

The fourth proportional to 585.51, 807.63 and 419.67 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 807.63 = 419.67 : x
  2. Step 2: Convert to fraction form
    585.51/807.63 = 419.67/x
  3. Step 3: Cross multiply
    585.51x = 807.63 × 419.67
  4. Step 4: Simplify right side
    585.51x = 338,938.08
  5. Step 5: Solve for x
    x = 338,938.08/585.51
  6. Step 6: Final answer
    x = 578.88

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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.