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Finding the Fourth Proportional to 1,457.51, 2,010.48 and 932.63

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Solution

The fourth proportional to 1,457.51, 2,010.48 and 932.63 is: 1,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.51 : 2,010.48 = 932.63 : x
  2. Step 2: Convert to fraction form
    1,457.51/2,010.48 = 932.63/x
  3. Step 3: Cross multiply
    1,457.51x = 2,010.48 × 932.63
  4. Step 4: Simplify right side
    1,457.51x = 1,875,031.72
  5. Step 5: Solve for x
    x = 1,875,031.72/1,457.51
  6. Step 6: Final answer
    x = 1,286.46

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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.