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Finding the Fourth Proportional to 1,506.43, 2,259.74 and 684.77

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Solution

The fourth proportional to 1,506.43, 2,259.74 and 684.77 is: 1,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.43 : 2,259.74 = 684.77 : x
  2. Step 2: Convert to fraction form
    1,506.43/2,259.74 = 684.77/x
  3. Step 3: Cross multiply
    1,506.43x = 2,259.74 × 684.77
  4. Step 4: Simplify right side
    1,506.43x = 1,547,402.16
  5. Step 5: Solve for x
    x = 1,547,402.16/1,506.43
  6. Step 6: Final answer
    x = 1,027.20

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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.