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Finding the Fourth Proportional to 840.45, 1,158.54 and 619.02

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Solution

The fourth proportional to 840.45, 1,158.54 and 619.02 is: 853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.45 : 1,158.54 = 619.02 : x
  2. Step 2: Convert to fraction form
    840.45/1,158.54 = 619.02/x
  3. Step 3: Cross multiply
    840.45x = 1,158.54 × 619.02
  4. Step 4: Simplify right side
    840.45x = 717,159.43
  5. Step 5: Solve for x
    x = 717,159.43/840.45
  6. Step 6: Final answer
    x = 853.30

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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.