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Finding the Fourth Proportional to 704.76, 973.53 and 565.08

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Solution

The fourth proportional to 704.76, 973.53 and 565.08 is: 780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 973.53 = 565.08 : x
  2. Step 2: Convert to fraction form
    704.76/973.53 = 565.08/x
  3. Step 3: Cross multiply
    704.76x = 973.53 × 565.08
  4. Step 4: Simplify right side
    704.76x = 550,122.33
  5. Step 5: Solve for x
    x = 550,122.33/704.76
  6. Step 6: Final answer
    x = 780.58

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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.