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Finding the Fourth Proportional to 783.95, 1,176.26 and 653.40

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Solution

The fourth proportional to 783.95, 1,176.26 and 653.40 is: 980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,176.26 = 653.40 : x
  2. Step 2: Convert to fraction form
    783.95/1,176.26 = 653.40/x
  3. Step 3: Cross multiply
    783.95x = 1,176.26 × 653.40
  4. Step 4: Simplify right side
    783.95x = 768,565.02
  5. Step 5: Solve for x
    x = 768,565.02/783.95
  6. Step 6: Final answer
    x = 980.38

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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.