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Finding the Fourth Proportional to 1,391.64, 2,088.32 and 651.12

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Solution

The fourth proportional to 1,391.64, 2,088.32 and 651.12 is: 977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.64 : 2,088.32 = 651.12 : x
  2. Step 2: Convert to fraction form
    1,391.64/2,088.32 = 651.12/x
  3. Step 3: Cross multiply
    1,391.64x = 2,088.32 × 651.12
  4. Step 4: Simplify right side
    1,391.64x = 1,359,746.92
  5. Step 5: Solve for x
    x = 1,359,746.92/1,391.64
  6. Step 6: Final answer
    x = 977.08

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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.