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Finding the Fourth Proportional to 583.42, 875.06 and 446.74

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Solution

The fourth proportional to 583.42, 875.06 and 446.74 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.42 : 875.06 = 446.74 : x
  2. Step 2: Convert to fraction form
    583.42/875.06 = 446.74/x
  3. Step 3: Cross multiply
    583.42x = 875.06 × 446.74
  4. Step 4: Simplify right side
    583.42x = 390,924.30
  5. Step 5: Solve for x
    x = 390,924.30/583.42
  6. Step 6: Final answer
    x = 670.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.