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Finding the Fourth Proportional to 1,315.55, 1,970.67 and 611.76

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Solution

The fourth proportional to 1,315.55, 1,970.67 and 611.76 is: 916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.55 : 1,970.67 = 611.76 : x
  2. Step 2: Convert to fraction form
    1,315.55/1,970.67 = 611.76/x
  3. Step 3: Cross multiply
    1,315.55x = 1,970.67 × 611.76
  4. Step 4: Simplify right side
    1,315.55x = 1,205,577.08
  5. Step 5: Solve for x
    x = 1,205,577.08/1,315.55
  6. Step 6: Final answer
    x = 916.40

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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.