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Finding the Fourth Proportional to 840.64, 1,159.04 and 529.60

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Solution

The fourth proportional to 840.64, 1,159.04 and 529.60 is: 730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.64 : 1,159.04 = 529.60 : x
  2. Step 2: Convert to fraction form
    840.64/1,159.04 = 529.60/x
  3. Step 3: Cross multiply
    840.64x = 1,159.04 × 529.60
  4. Step 4: Simplify right side
    840.64x = 613,827.58
  5. Step 5: Solve for x
    x = 613,827.58/840.64
  6. Step 6: Final answer
    x = 730.19

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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.