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Finding the Fourth Proportional to 848.63, 1,169.64 and 690.93

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Solution

The fourth proportional to 848.63, 1,169.64 and 690.93 is: 952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.63 : 1,169.64 = 690.93 : x
  2. Step 2: Convert to fraction form
    848.63/1,169.64 = 690.93/x
  3. Step 3: Cross multiply
    848.63x = 1,169.64 × 690.93
  4. Step 4: Simplify right side
    848.63x = 808,139.37
  5. Step 5: Solve for x
    x = 808,139.37/848.63
  6. Step 6: Final answer
    x = 952.28

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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.