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Finding the Fourth Proportional to 1,015.58, 1,512.59 and 970.58

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Solution

The fourth proportional to 1,015.58, 1,512.59 and 970.58 is: 1,445.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.58 : 1,512.59 = 970.58 : x
  2. Step 2: Convert to fraction form
    1,015.58/1,512.59 = 970.58/x
  3. Step 3: Cross multiply
    1,015.58x = 1,512.59 × 970.58
  4. Step 4: Simplify right side
    1,015.58x = 1,468,088.53
  5. Step 5: Solve for x
    x = 1,468,088.53/1,015.58
  6. Step 6: Final answer
    x = 1,445.56

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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.