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Finding the Fourth Proportional to 585.01, 807.65 and 388.93

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Solution

The fourth proportional to 585.01, 807.65 and 388.93 is: 536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.01 : 807.65 = 388.93 : x
  2. Step 2: Convert to fraction form
    585.01/807.65 = 388.93/x
  3. Step 3: Cross multiply
    585.01x = 807.65 × 388.93
  4. Step 4: Simplify right side
    585.01x = 314,116.25
  5. Step 5: Solve for x
    x = 314,116.25/585.01
  6. Step 6: Final answer
    x = 536.95

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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.