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Finding the Fourth Proportional to 1,688.10, 2,532.93 and 647.76

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Solution

The fourth proportional to 1,688.10, 2,532.93 and 647.76 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.10 : 2,532.93 = 647.76 : x
  2. Step 2: Convert to fraction form
    1,688.10/2,532.93 = 647.76/x
  3. Step 3: Cross multiply
    1,688.10x = 2,532.93 × 647.76
  4. Step 4: Simplify right side
    1,688.10x = 1,640,730.74
  5. Step 5: Solve for x
    x = 1,640,730.74/1,688.10
  6. Step 6: Final answer
    x = 971.94

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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.