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Finding the Fourth Proportional to 1,258.91, 1,737.24 and 840.02

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Solution

The fourth proportional to 1,258.91, 1,737.24 and 840.02 is: 1,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.91 : 1,737.24 = 840.02 : x
  2. Step 2: Convert to fraction form
    1,258.91/1,737.24 = 840.02/x
  3. Step 3: Cross multiply
    1,258.91x = 1,737.24 × 840.02
  4. Step 4: Simplify right side
    1,258.91x = 1,459,307.66
  5. Step 5: Solve for x
    x = 1,459,307.66/1,258.91
  6. Step 6: Final answer
    x = 1,159.19

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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.