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Finding the Fourth Proportional to 783.74, 1,176.88 and 646.50

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Solution

The fourth proportional to 783.74, 1,176.88 and 646.50 is: 970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.74 : 1,176.88 = 646.50 : x
  2. Step 2: Convert to fraction form
    783.74/1,176.88 = 646.50/x
  3. Step 3: Cross multiply
    783.74x = 1,176.88 × 646.50
  4. Step 4: Simplify right side
    783.74x = 760,852.92
  5. Step 5: Solve for x
    x = 760,852.92/783.74
  6. Step 6: Final answer
    x = 970.80

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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.