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Finding the Fourth Proportional to 1,570.45, 2,352.07 and 922.45

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Solution

The fourth proportional to 1,570.45, 2,352.07 and 922.45 is: 1,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.45 : 2,352.07 = 922.45 : x
  2. Step 2: Convert to fraction form
    1,570.45/2,352.07 = 922.45/x
  3. Step 3: Cross multiply
    1,570.45x = 2,352.07 × 922.45
  4. Step 4: Simplify right side
    1,570.45x = 2,169,666.97
  5. Step 5: Solve for x
    x = 2,169,666.97/1,570.45
  6. Step 6: Final answer
    x = 1,381.56

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1.5x scale

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.