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Finding the Fourth Proportional to 783.10, 1,172.78 and 435.57

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Solution

The fourth proportional to 783.10, 1,172.78 and 435.57 is: 652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.10 : 1,172.78 = 435.57 : x
  2. Step 2: Convert to fraction form
    783.10/1,172.78 = 435.57/x
  3. Step 3: Cross multiply
    783.10x = 1,172.78 × 435.57
  4. Step 4: Simplify right side
    783.10x = 510,823.41
  5. Step 5: Solve for x
    x = 510,823.41/783.10
  6. Step 6: Final answer
    x = 652.31

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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.