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Finding the Fourth Proportional to 1,045.34, 1,568.75 and 698.52

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Solution

The fourth proportional to 1,045.34, 1,568.75 and 698.52 is: 1,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.34 : 1,568.75 = 698.52 : x
  2. Step 2: Convert to fraction form
    1,045.34/1,568.75 = 698.52/x
  3. Step 3: Cross multiply
    1,045.34x = 1,568.75 × 698.52
  4. Step 4: Simplify right side
    1,045.34x = 1,095,799.76
  5. Step 5: Solve for x
    x = 1,095,799.76/1,045.34
  6. Step 6: Final answer
    x = 1,048.28

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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.