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Finding the Fourth Proportional to 586.07, 877.28 and 456.44

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Solution

The fourth proportional to 586.07, 877.28 and 456.44 is: 683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.07 : 877.28 = 456.44 : x
  2. Step 2: Convert to fraction form
    586.07/877.28 = 456.44/x
  3. Step 3: Cross multiply
    586.07x = 877.28 × 456.44
  4. Step 4: Simplify right side
    586.07x = 400,425.59
  5. Step 5: Solve for x
    x = 400,425.59/586.07
  6. Step 6: Final answer
    x = 683.24

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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.