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Finding the Fourth Proportional to 504.03, 756.02 and 257.00

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Solution

The fourth proportional to 504.03, 756.02 and 257.00 is: 385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.03 : 756.02 = 257.00 : x
  2. Step 2: Convert to fraction form
    504.03/756.02 = 257.00/x
  3. Step 3: Cross multiply
    504.03x = 756.02 × 257.00
  4. Step 4: Simplify right side
    504.03x = 194,292.07
  5. Step 5: Solve for x
    x = 194,292.07/504.03
  6. Step 6: Final answer
    x = 385.48

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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.