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Finding the Fourth Proportional to 705.20, 1,050.16 and 693.04

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Solution

The fourth proportional to 705.20, 1,050.16 and 693.04 is: 1,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.20 : 1,050.16 = 693.04 : x
  2. Step 2: Convert to fraction form
    705.20/1,050.16 = 693.04/x
  3. Step 3: Cross multiply
    705.20x = 1,050.16 × 693.04
  4. Step 4: Simplify right side
    705.20x = 727,802.89
  5. Step 5: Solve for x
    x = 727,802.89/705.20
  6. Step 6: Final answer
    x = 1,032.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.