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Finding the Fourth Proportional to 595.98, 890.37 and 498.78

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Solution

The fourth proportional to 595.98, 890.37 and 498.78 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.98 : 890.37 = 498.78 : x
  2. Step 2: Convert to fraction form
    595.98/890.37 = 498.78/x
  3. Step 3: Cross multiply
    595.98x = 890.37 × 498.78
  4. Step 4: Simplify right side
    595.98x = 444,098.75
  5. Step 5: Solve for x
    x = 444,098.75/595.98
  6. Step 6: Final answer
    x = 745.16

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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.