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Finding the Fourth Proportional to 586.52, 808.84 and 387.06

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Solution

The fourth proportional to 586.52, 808.84 and 387.06 is: 533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.52 : 808.84 = 387.06 : x
  2. Step 2: Convert to fraction form
    586.52/808.84 = 387.06/x
  3. Step 3: Cross multiply
    586.52x = 808.84 × 387.06
  4. Step 4: Simplify right side
    586.52x = 313,069.61
  5. Step 5: Solve for x
    x = 313,069.61/586.52
  6. Step 6: Final answer
    x = 533.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.