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Finding the Fourth Proportional to 1,505.32, 2,077.70 and 953

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Solution

The fourth proportional to 1,505.32, 2,077.70 and 953 is: 1,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.32 : 2,077.70 = 953 : x
  2. Step 2: Convert to fraction form
    1,505.32/2,077.70 = 953/x
  3. Step 3: Cross multiply
    1,505.32x = 2,077.70 × 953
  4. Step 4: Simplify right side
    1,505.32x = 1,980,048.10
  5. Step 5: Solve for x
    x = 1,980,048.10/1,505.32
  6. Step 6: Final answer
    x = 1,315.37

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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.