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Finding the Fourth Proportional to 840.46, 1,158.15 and 694.12

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Solution

The fourth proportional to 840.46, 1,158.15 and 694.12 is: 956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.46 : 1,158.15 = 694.12 : x
  2. Step 2: Convert to fraction form
    840.46/1,158.15 = 694.12/x
  3. Step 3: Cross multiply
    840.46x = 1,158.15 × 694.12
  4. Step 4: Simplify right side
    840.46x = 803,895.08
  5. Step 5: Solve for x
    x = 803,895.08/840.46
  6. Step 6: Final answer
    x = 956.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.