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Finding the Fourth Proportional to 1,225.55, 1,690.63 and 782.99

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Solution

The fourth proportional to 1,225.55, 1,690.63 and 782.99 is: 1,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.55 : 1,690.63 = 782.99 : x
  2. Step 2: Convert to fraction form
    1,225.55/1,690.63 = 782.99/x
  3. Step 3: Cross multiply
    1,225.55x = 1,690.63 × 782.99
  4. Step 4: Simplify right side
    1,225.55x = 1,323,746.38
  5. Step 5: Solve for x
    x = 1,323,746.38/1,225.55
  6. Step 6: Final answer
    x = 1,080.12

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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.