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Finding the Fourth Proportional to 715.53, 986.77 and 466.77

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Solution

The fourth proportional to 715.53, 986.77 and 466.77 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.53 : 986.77 = 466.77 : x
  2. Step 2: Convert to fraction form
    715.53/986.77 = 466.77/x
  3. Step 3: Cross multiply
    715.53x = 986.77 × 466.77
  4. Step 4: Simplify right side
    715.53x = 460,594.63
  5. Step 5: Solve for x
    x = 460,594.63/715.53
  6. Step 6: Final answer
    x = 643.71

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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.