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Finding the Fourth Proportional to 651.76, 899.04 and 564.28

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Solution

The fourth proportional to 651.76, 899.04 and 564.28 is: 778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.76 : 899.04 = 564.28 : x
  2. Step 2: Convert to fraction form
    651.76/899.04 = 564.28/x
  3. Step 3: Cross multiply
    651.76x = 899.04 × 564.28
  4. Step 4: Simplify right side
    651.76x = 507,310.29
  5. Step 5: Solve for x
    x = 507,310.29/651.76
  6. Step 6: Final answer
    x = 778.37

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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.