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Finding the Fourth Proportional to 948.68, 1,309.77 and 595.11

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Solution

The fourth proportional to 948.68, 1,309.77 and 595.11 is: 821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.68 : 1,309.77 = 595.11 : x
  2. Step 2: Convert to fraction form
    948.68/1,309.77 = 595.11/x
  3. Step 3: Cross multiply
    948.68x = 1,309.77 × 595.11
  4. Step 4: Simplify right side
    948.68x = 779,462.14
  5. Step 5: Solve for x
    x = 779,462.14/948.68
  6. Step 6: Final answer
    x = 821.63

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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.