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Finding the Fourth Proportional to 922.24, 1,374.56 and 870.36

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Solution

The fourth proportional to 922.24, 1,374.56 and 870.36 is: 1,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.24 : 1,374.56 = 870.36 : x
  2. Step 2: Convert to fraction form
    922.24/1,374.56 = 870.36/x
  3. Step 3: Cross multiply
    922.24x = 1,374.56 × 870.36
  4. Step 4: Simplify right side
    922.24x = 1,196,362.04
  5. Step 5: Solve for x
    x = 1,196,362.04/922.24
  6. Step 6: Final answer
    x = 1,297.24

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1.5x scale

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.