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Finding the Fourth Proportional to 653.04, 900.72 and 633.60

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Solution

The fourth proportional to 653.04, 900.72 and 633.60 is: 873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 900.72 = 633.60 : x
  2. Step 2: Convert to fraction form
    653.04/900.72 = 633.60/x
  3. Step 3: Cross multiply
    653.04x = 900.72 × 633.60
  4. Step 4: Simplify right side
    653.04x = 570,696.19
  5. Step 5: Solve for x
    x = 570,696.19/653.04
  6. Step 6: Final answer
    x = 873.91

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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.