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Finding the Fourth Proportional to 504.53, 753.03 and 434.81

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Solution

The fourth proportional to 504.53, 753.03 and 434.81 is: 648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.53 : 753.03 = 434.81 : x
  2. Step 2: Convert to fraction form
    504.53/753.03 = 434.81/x
  3. Step 3: Cross multiply
    504.53x = 753.03 × 434.81
  4. Step 4: Simplify right side
    504.53x = 327,421.21
  5. Step 5: Solve for x
    x = 327,421.21/504.53
  6. Step 6: Final answer
    x = 648.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.