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Finding the Fourth Proportional to 1,307.23, 1,806.37 and 952.53

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Solution

The fourth proportional to 1,307.23, 1,806.37 and 952.53 is: 1,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.23 : 1,806.37 = 952.53 : x
  2. Step 2: Convert to fraction form
    1,307.23/1,806.37 = 952.53/x
  3. Step 3: Cross multiply
    1,307.23x = 1,806.37 × 952.53
  4. Step 4: Simplify right side
    1,307.23x = 1,720,621.62
  5. Step 5: Solve for x
    x = 1,720,621.62/1,307.23
  6. Step 6: Final answer
    x = 1,316.23

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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.