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Finding the Fourth Proportional to 586.18, 808.63 and 428.55

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Solution

The fourth proportional to 586.18, 808.63 and 428.55 is: 591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.18 : 808.63 = 428.55 : x
  2. Step 2: Convert to fraction form
    586.18/808.63 = 428.55/x
  3. Step 3: Cross multiply
    586.18x = 808.63 × 428.55
  4. Step 4: Simplify right side
    586.18x = 346,538.39
  5. Step 5: Solve for x
    x = 346,538.39/586.18
  6. Step 6: Final answer
    x = 591.18

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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.