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Finding the Fourth Proportional to 585.99, 808.91 and 384.20

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Solution

The fourth proportional to 585.99, 808.91 and 384.20 is: 530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.99 : 808.91 = 384.20 : x
  2. Step 2: Convert to fraction form
    585.99/808.91 = 384.20/x
  3. Step 3: Cross multiply
    585.99x = 808.91 × 384.20
  4. Step 4: Simplify right side
    585.99x = 310,784.76
  5. Step 5: Solve for x
    x = 310,784.76/585.99
  6. Step 6: Final answer
    x = 530.36

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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.