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Finding the Fourth Proportional to 491.29, 735.71 and 465.77

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Solution

The fourth proportional to 491.29, 735.71 and 465.77 is: 697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.29 : 735.71 = 465.77 : x
  2. Step 2: Convert to fraction form
    491.29/735.71 = 465.77/x
  3. Step 3: Cross multiply
    491.29x = 735.71 × 465.77
  4. Step 4: Simplify right side
    491.29x = 342,671.16
  5. Step 5: Solve for x
    x = 342,671.16/491.29
  6. Step 6: Final answer
    x = 697.50

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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.