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Finding the Fourth Proportional to 985.70, 1,478.29 and 465.57

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Solution

The fourth proportional to 985.70, 1,478.29 and 465.57 is: 698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.70 : 1,478.29 = 465.57 : x
  2. Step 2: Convert to fraction form
    985.70/1,478.29 = 465.57/x
  3. Step 3: Cross multiply
    985.70x = 1,478.29 × 465.57
  4. Step 4: Simplify right side
    985.70x = 688,242.51
  5. Step 5: Solve for x
    x = 688,242.51/985.70
  6. Step 6: Final answer
    x = 698.23

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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.