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Finding the Fourth Proportional to 653.21, 900.74 and 487.16

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Solution

The fourth proportional to 653.21, 900.74 and 487.16 is: 671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.21 : 900.74 = 487.16 : x
  2. Step 2: Convert to fraction form
    653.21/900.74 = 487.16/x
  3. Step 3: Cross multiply
    653.21x = 900.74 × 487.16
  4. Step 4: Simplify right side
    653.21x = 438,801.21
  5. Step 5: Solve for x
    x = 438,801.21/653.21
  6. Step 6: Final answer
    x = 671.77

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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.