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Finding the Fourth Proportional to 1,300.71, 1,951.07 and 570.77

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Solution

The fourth proportional to 1,300.71, 1,951.07 and 570.77 is: 856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.71 : 1,951.07 = 570.77 : x
  2. Step 2: Convert to fraction form
    1,300.71/1,951.07 = 570.77/x
  3. Step 3: Cross multiply
    1,300.71x = 1,951.07 × 570.77
  4. Step 4: Simplify right side
    1,300.71x = 1,113,599.61
  5. Step 5: Solve for x
    x = 1,113,599.61/1,300.71
  6. Step 6: Final answer
    x = 856.15

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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.