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Finding the Fourth Proportional to 788.82, 1,088.06 and 592

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Solution

The fourth proportional to 788.82, 1,088.06 and 592 is: 816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.82 : 1,088.06 = 592 : x
  2. Step 2: Convert to fraction form
    788.82/1,088.06 = 592/x
  3. Step 3: Cross multiply
    788.82x = 1,088.06 × 592
  4. Step 4: Simplify right side
    788.82x = 644,131.52
  5. Step 5: Solve for x
    x = 644,131.52/788.82
  6. Step 6: Final answer
    x = 816.58

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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.