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Finding the Fourth Proportional to 651.21, 972.06 and 565.16

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Solution

The fourth proportional to 651.21, 972.06 and 565.16 is: 843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.21 : 972.06 = 565.16 : x
  2. Step 2: Convert to fraction form
    651.21/972.06 = 565.16/x
  3. Step 3: Cross multiply
    651.21x = 972.06 × 565.16
  4. Step 4: Simplify right side
    651.21x = 549,364.57
  5. Step 5: Solve for x
    x = 549,364.57/651.21
  6. Step 6: Final answer
    x = 843.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.