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Finding the Fourth Proportional to 651.87, 896.55 and 569.07

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Solution

The fourth proportional to 651.87, 896.55 and 569.07 is: 782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.87 : 896.55 = 569.07 : x
  2. Step 2: Convert to fraction form
    651.87/896.55 = 569.07/x
  3. Step 3: Cross multiply
    651.87x = 896.55 × 569.07
  4. Step 4: Simplify right side
    651.87x = 510,199.71
  5. Step 5: Solve for x
    x = 510,199.71/651.87
  6. Step 6: Final answer
    x = 782.67

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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.