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Finding the Fourth Proportional to 580.70, 874.21 and 529.67

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Solution

The fourth proportional to 580.70, 874.21 and 529.67 is: 797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.70 : 874.21 = 529.67 : x
  2. Step 2: Convert to fraction form
    580.70/874.21 = 529.67/x
  3. Step 3: Cross multiply
    580.70x = 874.21 × 529.67
  4. Step 4: Simplify right side
    580.70x = 463,038.44
  5. Step 5: Solve for x
    x = 463,038.44/580.70
  6. Step 6: Final answer
    x = 797.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.