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Finding the Fourth Proportional to 1,580.32, 2,369.84 and 643

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Solution

The fourth proportional to 1,580.32, 2,369.84 and 643 is: 964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.32 : 2,369.84 = 643 : x
  2. Step 2: Convert to fraction form
    1,580.32/2,369.84 = 643/x
  3. Step 3: Cross multiply
    1,580.32x = 2,369.84 × 643
  4. Step 4: Simplify right side
    1,580.32x = 1,523,807.12
  5. Step 5: Solve for x
    x = 1,523,807.12/1,580.32
  6. Step 6: Final answer
    x = 964.24

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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.