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Finding the Fourth Proportional to 532.86, 735.08 and 490.74

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Solution

The fourth proportional to 532.86, 735.08 and 490.74 is: 676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.86 : 735.08 = 490.74 : x
  2. Step 2: Convert to fraction form
    532.86/735.08 = 490.74/x
  3. Step 3: Cross multiply
    532.86x = 735.08 × 490.74
  4. Step 4: Simplify right side
    532.86x = 360,733.16
  5. Step 5: Solve for x
    x = 360,733.16/532.86
  6. Step 6: Final answer
    x = 676.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.