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Finding the Fourth Proportional to 840.69, 1,259.01 and 656.55

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Solution

The fourth proportional to 840.69, 1,259.01 and 656.55 is: 983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.69 : 1,259.01 = 656.55 : x
  2. Step 2: Convert to fraction form
    840.69/1,259.01 = 656.55/x
  3. Step 3: Cross multiply
    840.69x = 1,259.01 × 656.55
  4. Step 4: Simplify right side
    840.69x = 826,603.02
  5. Step 5: Solve for x
    x = 826,603.02/840.69
  6. Step 6: Final answer
    x = 983.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.