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Finding the Fourth Proportional to 772.07, 1,065.29 and 509.63

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Solution

The fourth proportional to 772.07, 1,065.29 and 509.63 is: 703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.07 : 1,065.29 = 509.63 : x
  2. Step 2: Convert to fraction form
    772.07/1,065.29 = 509.63/x
  3. Step 3: Cross multiply
    772.07x = 1,065.29 × 509.63
  4. Step 4: Simplify right side
    772.07x = 542,895.87
  5. Step 5: Solve for x
    x = 542,895.87/772.07
  6. Step 6: Final answer
    x = 703.17

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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.