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Finding the Fourth Proportional to 730.18, 1,089.65 and 652.33

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Solution

The fourth proportional to 730.18, 1,089.65 and 652.33 is: 973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.18 : 1,089.65 = 652.33 : x
  2. Step 2: Convert to fraction form
    730.18/1,089.65 = 652.33/x
  3. Step 3: Cross multiply
    730.18x = 1,089.65 × 652.33
  4. Step 4: Simplify right side
    730.18x = 710,805.40
  5. Step 5: Solve for x
    x = 710,805.40/730.18
  6. Step 6: Final answer
    x = 973.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.