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Finding the Fourth Proportional to 653.10, 977.64 and 553.56

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Solution

The fourth proportional to 653.10, 977.64 and 553.56 is: 828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 977.64 = 553.56 : x
  2. Step 2: Convert to fraction form
    653.10/977.64 = 553.56/x
  3. Step 3: Cross multiply
    653.10x = 977.64 × 553.56
  4. Step 4: Simplify right side
    653.10x = 541,182.40
  5. Step 5: Solve for x
    x = 541,182.40/653.10
  6. Step 6: Final answer
    x = 828.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.