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Finding the Fourth Proportional to 840.42, 1,158.50 and 591.06

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Solution

The fourth proportional to 840.42, 1,158.50 and 591.06 is: 814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.42 : 1,158.50 = 591.06 : x
  2. Step 2: Convert to fraction form
    840.42/1,158.50 = 591.06/x
  3. Step 3: Cross multiply
    840.42x = 1,158.50 × 591.06
  4. Step 4: Simplify right side
    840.42x = 684,740.05
  5. Step 5: Solve for x
    x = 684,740.05/840.42
  6. Step 6: Final answer
    x = 814.76

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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.