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Finding the Fourth Proportional to 653.34, 900.90 and 505.62

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Solution

The fourth proportional to 653.34, 900.90 and 505.62 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.34 : 900.90 = 505.62 : x
  2. Step 2: Convert to fraction form
    653.34/900.90 = 505.62/x
  3. Step 3: Cross multiply
    653.34x = 900.90 × 505.62
  4. Step 4: Simplify right side
    653.34x = 455,513.06
  5. Step 5: Solve for x
    x = 455,513.06/653.34
  6. Step 6: Final answer
    x = 697.21

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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.