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Finding the Fourth Proportional to 704.80, 973.11 and 456.76

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Solution

The fourth proportional to 704.80, 973.11 and 456.76 is: 630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.80 : 973.11 = 456.76 : x
  2. Step 2: Convert to fraction form
    704.80/973.11 = 456.76/x
  3. Step 3: Cross multiply
    704.80x = 973.11 × 456.76
  4. Step 4: Simplify right side
    704.80x = 444,477.72
  5. Step 5: Solve for x
    x = 444,477.72/704.80
  6. Step 6: Final answer
    x = 630.64

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Double scale
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1.5x scale

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.