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Finding the Fourth Proportional to 1,156.34, 1,735.28 and 953.36

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Solution

The fourth proportional to 1,156.34, 1,735.28 and 953.36 is: 1,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.34 : 1,735.28 = 953.36 : x
  2. Step 2: Convert to fraction form
    1,156.34/1,735.28 = 953.36/x
  3. Step 3: Cross multiply
    1,156.34x = 1,735.28 × 953.36
  4. Step 4: Simplify right side
    1,156.34x = 1,654,333.10
  5. Step 5: Solve for x
    x = 1,654,333.10/1,156.34
  6. Step 6: Final answer
    x = 1,430.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.