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Finding the Fourth Proportional to 1,258.76, 1,888.15 and 478.77

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Solution

The fourth proportional to 1,258.76, 1,888.15 and 478.77 is: 718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.76 : 1,888.15 = 478.77 : x
  2. Step 2: Convert to fraction form
    1,258.76/1,888.15 = 478.77/x
  3. Step 3: Cross multiply
    1,258.76x = 1,888.15 × 478.77
  4. Step 4: Simplify right side
    1,258.76x = 903,989.58
  5. Step 5: Solve for x
    x = 903,989.58/1,258.76
  6. Step 6: Final answer
    x = 718.16

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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.