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Finding the Fourth Proportional to 929.89, 1,276.15 and 842.41

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Solution

The fourth proportional to 929.89, 1,276.15 and 842.41 is: 1,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.89 : 1,276.15 = 842.41 : x
  2. Step 2: Convert to fraction form
    929.89/1,276.15 = 842.41/x
  3. Step 3: Cross multiply
    929.89x = 1,276.15 × 842.41
  4. Step 4: Simplify right side
    929.89x = 1,075,041.52
  5. Step 5: Solve for x
    x = 1,075,041.52/929.89
  6. Step 6: Final answer
    x = 1,156.10

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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.