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Finding the Fourth Proportional to 580.07, 866.31 and 464.69

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Solution

The fourth proportional to 580.07, 866.31 and 464.69 is: 693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 866.31 = 464.69 : x
  2. Step 2: Convert to fraction form
    580.07/866.31 = 464.69/x
  3. Step 3: Cross multiply
    580.07x = 866.31 × 464.69
  4. Step 4: Simplify right side
    580.07x = 402,565.59
  5. Step 5: Solve for x
    x = 402,565.59/580.07
  6. Step 6: Final answer
    x = 693.99

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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.