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Finding the Fourth Proportional to 789.17, 1,088.43 and 509.45

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Solution

The fourth proportional to 789.17, 1,088.43 and 509.45 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.17 : 1,088.43 = 509.45 : x
  2. Step 2: Convert to fraction form
    789.17/1,088.43 = 509.45/x
  3. Step 3: Cross multiply
    789.17x = 1,088.43 × 509.45
  4. Step 4: Simplify right side
    789.17x = 554,495.22
  5. Step 5: Solve for x
    x = 554,495.22/789.17
  6. Step 6: Final answer
    x = 702.64

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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.