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Finding the Fourth Proportional to 1,045.31, 1,567.33 and 720.32

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Solution

The fourth proportional to 1,045.31, 1,567.33 and 720.32 is: 1,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.31 : 1,567.33 = 720.32 : x
  2. Step 2: Convert to fraction form
    1,045.31/1,567.33 = 720.32/x
  3. Step 3: Cross multiply
    1,045.31x = 1,567.33 × 720.32
  4. Step 4: Simplify right side
    1,045.31x = 1,128,969.51
  5. Step 5: Solve for x
    x = 1,128,969.51/1,045.31
  6. Step 6: Final answer
    x = 1,080.04

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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.