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Finding the Fourth Proportional to 896.56, 1,237.80 and 710.80

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Solution

The fourth proportional to 896.56, 1,237.80 and 710.80 is: 981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.56 : 1,237.80 = 710.80 : x
  2. Step 2: Convert to fraction form
    896.56/1,237.80 = 710.80/x
  3. Step 3: Cross multiply
    896.56x = 1,237.80 × 710.80
  4. Step 4: Simplify right side
    896.56x = 879,828.24
  5. Step 5: Solve for x
    x = 879,828.24/896.56
  6. Step 6: Final answer
    x = 981.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.