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Finding the Fourth Proportional to 1,156.42, 1,595.97 and 714.58

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Solution

The fourth proportional to 1,156.42, 1,595.97 and 714.58 is: 986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.42 : 1,595.97 = 714.58 : x
  2. Step 2: Convert to fraction form
    1,156.42/1,595.97 = 714.58/x
  3. Step 3: Cross multiply
    1,156.42x = 1,595.97 × 714.58
  4. Step 4: Simplify right side
    1,156.42x = 1,140,448.24
  5. Step 5: Solve for x
    x = 1,140,448.24/1,156.42
  6. Step 6: Final answer
    x = 986.19

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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.