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Finding the Fourth Proportional to 841.24, 1,259.70 and 710.20

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Solution

The fourth proportional to 841.24, 1,259.70 and 710.20 is: 1,063.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.24 : 1,259.70 = 710.20 : x
  2. Step 2: Convert to fraction form
    841.24/1,259.70 = 710.20/x
  3. Step 3: Cross multiply
    841.24x = 1,259.70 × 710.20
  4. Step 4: Simplify right side
    841.24x = 894,638.94
  5. Step 5: Solve for x
    x = 894,638.94/841.24
  6. Step 6: Final answer
    x = 1,063.48

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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.