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Finding the Fourth Proportional to 970.42, 1,455.86 and 698.56

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Solution

The fourth proportional to 970.42, 1,455.86 and 698.56 is: 1,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.42 : 1,455.86 = 698.56 : x
  2. Step 2: Convert to fraction form
    970.42/1,455.86 = 698.56/x
  3. Step 3: Cross multiply
    970.42x = 1,455.86 × 698.56
  4. Step 4: Simplify right side
    970.42x = 1,017,005.56
  5. Step 5: Solve for x
    x = 1,017,005.56/970.42
  6. Step 6: Final answer
    x = 1,048.01

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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.