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Finding the Fourth Proportional to 1,088.74, 1,501.77 and 646.31

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Solution

The fourth proportional to 1,088.74, 1,501.77 and 646.31 is: 891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.74 : 1,501.77 = 646.31 : x
  2. Step 2: Convert to fraction form
    1,088.74/1,501.77 = 646.31/x
  3. Step 3: Cross multiply
    1,088.74x = 1,501.77 × 646.31
  4. Step 4: Simplify right side
    1,088.74x = 970,615.15
  5. Step 5: Solve for x
    x = 970,615.15/1,088.74
  6. Step 6: Final answer
    x = 891.50

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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.