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Finding the Fourth Proportional to 707.41, 1,056.80 and 563.29

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Solution

The fourth proportional to 707.41, 1,056.80 and 563.29 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 1,056.80 = 563.29 : x
  2. Step 2: Convert to fraction form
    707.41/1,056.80 = 563.29/x
  3. Step 3: Cross multiply
    707.41x = 1,056.80 × 563.29
  4. Step 4: Simplify right side
    707.41x = 595,284.87
  5. Step 5: Solve for x
    x = 595,284.87/707.41
  6. Step 6: Final answer
    x = 841.50

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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.