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Finding the Fourth Proportional to 1,670.32, 2,303.64 and 1,448.89

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Solution

The fourth proportional to 1,670.32, 2,303.64 and 1,448.89 is: 1,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.32 : 2,303.64 = 1,448.89 : x
  2. Step 2: Convert to fraction form
    1,670.32/2,303.64 = 1,448.89/x
  3. Step 3: Cross multiply
    1,670.32x = 2,303.64 × 1,448.89
  4. Step 4: Simplify right side
    1,670.32x = 3,337,715.20
  5. Step 5: Solve for x
    x = 3,337,715.20/1,670.32
  6. Step 6: Final answer
    x = 1,998.25

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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.