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Finding the Fourth Proportional to 970.33, 1,461.19 and 698.32

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Solution

The fourth proportional to 970.33, 1,461.19 and 698.32 is: 1,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.33 : 1,461.19 = 698.32 : x
  2. Step 2: Convert to fraction form
    970.33/1,461.19 = 698.32/x
  3. Step 3: Cross multiply
    970.33x = 1,461.19 × 698.32
  4. Step 4: Simplify right side
    970.33x = 1,020,379.59
  5. Step 5: Solve for x
    x = 1,020,379.59/970.33
  6. Step 6: Final answer
    x = 1,051.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.