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Finding the Fourth Proportional to 586.02, 879.95 and 456.32

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Solution

The fourth proportional to 586.02, 879.95 and 456.32 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.02 : 879.95 = 456.32 : x
  2. Step 2: Convert to fraction form
    586.02/879.95 = 456.32/x
  3. Step 3: Cross multiply
    586.02x = 879.95 × 456.32
  4. Step 4: Simplify right side
    586.02x = 401,538.78
  5. Step 5: Solve for x
    x = 401,538.78/586.02
  6. Step 6: Final answer
    x = 685.20

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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.