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Finding the Fourth Proportional to 699.12, 1,048.18 and 260.16

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Solution

The fourth proportional to 699.12, 1,048.18 and 260.16 is: 390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 1,048.18 = 260.16 : x
  2. Step 2: Convert to fraction form
    699.12/1,048.18 = 260.16/x
  3. Step 3: Cross multiply
    699.12x = 1,048.18 × 260.16
  4. Step 4: Simplify right side
    699.12x = 272,694.51
  5. Step 5: Solve for x
    x = 272,694.51/699.12
  6. Step 6: Final answer
    x = 390.05

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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.