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Finding the Fourth Proportional to 864.32, 1,193.29 and 595.58

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Solution

The fourth proportional to 864.32, 1,193.29 and 595.58 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,193.29 = 595.58 : x
  2. Step 2: Convert to fraction form
    864.32/1,193.29 = 595.58/x
  3. Step 3: Cross multiply
    864.32x = 1,193.29 × 595.58
  4. Step 4: Simplify right side
    864.32x = 710,692.20
  5. Step 5: Solve for x
    x = 710,692.20/864.32
  6. Step 6: Final answer
    x = 822.26

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1.5x scale

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.