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Finding the Fourth Proportional to 586.46, 879.50 and 405.02

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Solution

The fourth proportional to 586.46, 879.50 and 405.02 is: 607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.46 : 879.50 = 405.02 : x
  2. Step 2: Convert to fraction form
    586.46/879.50 = 405.02/x
  3. Step 3: Cross multiply
    586.46x = 879.50 × 405.02
  4. Step 4: Simplify right side
    586.46x = 356,215.09
  5. Step 5: Solve for x
    x = 356,215.09/586.46
  6. Step 6: Final answer
    x = 607.40

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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.