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Finding the Fourth Proportional to 846.02, 1,259.60 and 841.70

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Solution

The fourth proportional to 846.02, 1,259.60 and 841.70 is: 1,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.02 : 1,259.60 = 841.70 : x
  2. Step 2: Convert to fraction form
    846.02/1,259.60 = 841.70/x
  3. Step 3: Cross multiply
    846.02x = 1,259.60 × 841.70
  4. Step 4: Simplify right side
    846.02x = 1,060,205.32
  5. Step 5: Solve for x
    x = 1,060,205.32/846.02
  6. Step 6: Final answer
    x = 1,253.17

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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.