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Finding the Fourth Proportional to 586.64, 875.84 and 551.84

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Solution

The fourth proportional to 586.64, 875.84 and 551.84 is: 823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.64 : 875.84 = 551.84 : x
  2. Step 2: Convert to fraction form
    586.64/875.84 = 551.84/x
  3. Step 3: Cross multiply
    586.64x = 875.84 × 551.84
  4. Step 4: Simplify right side
    586.64x = 483,323.55
  5. Step 5: Solve for x
    x = 483,323.55/586.64
  6. Step 6: Final answer
    x = 823.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.