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Finding the Fourth Proportional to 504.86, 753.54 and 423.98

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Solution

The fourth proportional to 504.86, 753.54 and 423.98 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 753.54 = 423.98 : x
  2. Step 2: Convert to fraction form
    504.86/753.54 = 423.98/x
  3. Step 3: Cross multiply
    504.86x = 753.54 × 423.98
  4. Step 4: Simplify right side
    504.86x = 319,485.89
  5. Step 5: Solve for x
    x = 319,485.89/504.86
  6. Step 6: Final answer
    x = 632.82

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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.