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Finding the Fourth Proportional to 649.55, 973.25 and 456.77

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Solution

The fourth proportional to 649.55, 973.25 and 456.77 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.55 : 973.25 = 456.77 : x
  2. Step 2: Convert to fraction form
    649.55/973.25 = 456.77/x
  3. Step 3: Cross multiply
    649.55x = 973.25 × 456.77
  4. Step 4: Simplify right side
    649.55x = 444,549.12
  5. Step 5: Solve for x
    x = 444,549.12/649.55
  6. Step 6: Final answer
    x = 684.40

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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.