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Finding the Fourth Proportional to 1,307.47, 1,804.36 and 718.05

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Solution

The fourth proportional to 1,307.47, 1,804.36 and 718.05 is: 990.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.47 : 1,804.36 = 718.05 : x
  2. Step 2: Convert to fraction form
    1,307.47/1,804.36 = 718.05/x
  3. Step 3: Cross multiply
    1,307.47x = 1,804.36 × 718.05
  4. Step 4: Simplify right side
    1,307.47x = 1,295,617.11
  5. Step 5: Solve for x
    x = 1,295,617.11/1,307.47
  6. Step 6: Final answer
    x = 990.93

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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.