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Finding the Fourth Proportional to 1,036.35, 1,430.04 and 704.67

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Solution

The fourth proportional to 1,036.35, 1,430.04 and 704.67 is: 972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.35 : 1,430.04 = 704.67 : x
  2. Step 2: Convert to fraction form
    1,036.35/1,430.04 = 704.67/x
  3. Step 3: Cross multiply
    1,036.35x = 1,430.04 × 704.67
  4. Step 4: Simplify right side
    1,036.35x = 1,007,706.29
  5. Step 5: Solve for x
    x = 1,007,706.29/1,036.35
  6. Step 6: Final answer
    x = 972.36

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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.