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Finding the Fourth Proportional to 1,047.45, 1,570.56 and 613.70

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Solution

The fourth proportional to 1,047.45, 1,570.56 and 613.70 is: 920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.45 : 1,570.56 = 613.70 : x
  2. Step 2: Convert to fraction form
    1,047.45/1,570.56 = 613.70/x
  3. Step 3: Cross multiply
    1,047.45x = 1,570.56 × 613.70
  4. Step 4: Simplify right side
    1,047.45x = 963,852.67
  5. Step 5: Solve for x
    x = 963,852.67/1,047.45
  6. Step 6: Final answer
    x = 920.19

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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.