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Finding the Fourth Proportional to 951.74, 1,312.98 and 783.80

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Solution

The fourth proportional to 951.74, 1,312.98 and 783.80 is: 1,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.74 : 1,312.98 = 783.80 : x
  2. Step 2: Convert to fraction form
    951.74/1,312.98 = 783.80/x
  3. Step 3: Cross multiply
    951.74x = 1,312.98 × 783.80
  4. Step 4: Simplify right side
    951.74x = 1,029,113.72
  5. Step 5: Solve for x
    x = 1,029,113.72/951.74
  6. Step 6: Final answer
    x = 1,081.30

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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.