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Finding the Fourth Proportional to 477.55, 653.00 and 477.55

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Solution

The fourth proportional to 477.55, 653.00 and 477.55 is: 653.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 653.00 = 477.55 : x
  2. Step 2: Convert to fraction form
    477.55/653.00 = 477.55/x
  3. Step 3: Cross multiply
    477.55x = 653.00 × 477.55
  4. Step 4: Simplify right side
    477.55x = 311,838.82
  5. Step 5: Solve for x
    x = 311,838.82/477.55
  6. Step 6: Final answer
    x = 653.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.