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Finding the Fourth Proportional to 580.88, 800.52 and 526.16

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Solution

The fourth proportional to 580.88, 800.52 and 526.16 is: 725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.88 : 800.52 = 526.16 : x
  2. Step 2: Convert to fraction form
    580.88/800.52 = 526.16/x
  3. Step 3: Cross multiply
    580.88x = 800.52 × 526.16
  4. Step 4: Simplify right side
    580.88x = 421,201.60
  5. Step 5: Solve for x
    x = 421,201.60/580.88
  6. Step 6: Final answer
    x = 725.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.