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Finding the Fourth Proportional to 585.30, 877.07 and 438.35

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Solution

The fourth proportional to 585.30, 877.07 and 438.35 is: 656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 877.07 = 438.35 : x
  2. Step 2: Convert to fraction form
    585.30/877.07 = 438.35/x
  3. Step 3: Cross multiply
    585.30x = 877.07 × 438.35
  4. Step 4: Simplify right side
    585.30x = 384,457.06
  5. Step 5: Solve for x
    x = 384,457.06/585.30
  6. Step 6: Final answer
    x = 656.85

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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.