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Finding the Fourth Proportional to 840.01, 1,159.32 and 578.38

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Solution

The fourth proportional to 840.01, 1,159.32 and 578.38 is: 798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.01 : 1,159.32 = 578.38 : x
  2. Step 2: Convert to fraction form
    840.01/1,159.32 = 578.38/x
  3. Step 3: Cross multiply
    840.01x = 1,159.32 × 578.38
  4. Step 4: Simplify right side
    840.01x = 670,526.77
  5. Step 5: Solve for x
    x = 670,526.77/840.01
  6. Step 6: Final answer
    x = 798.24

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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.