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Finding the Fourth Proportional to 848.76, 1,165.08 and 783.12

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Solution

The fourth proportional to 848.76, 1,165.08 and 783.12 is: 1,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.76 : 1,165.08 = 783.12 : x
  2. Step 2: Convert to fraction form
    848.76/1,165.08 = 783.12/x
  3. Step 3: Cross multiply
    848.76x = 1,165.08 × 783.12
  4. Step 4: Simplify right side
    848.76x = 912,397.45
  5. Step 5: Solve for x
    x = 912,397.45/848.76
  6. Step 6: Final answer
    x = 1,074.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.