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Finding the Fourth Proportional to 711.51, 1,064.94 and 613.10

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Solution

The fourth proportional to 711.51, 1,064.94 and 613.10 is: 917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.51 : 1,064.94 = 613.10 : x
  2. Step 2: Convert to fraction form
    711.51/1,064.94 = 613.10/x
  3. Step 3: Cross multiply
    711.51x = 1,064.94 × 613.10
  4. Step 4: Simplify right side
    711.51x = 652,909.39
  5. Step 5: Solve for x
    x = 652,909.39/711.51
  6. Step 6: Final answer
    x = 917.64

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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.