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Finding the Fourth Proportional to 1,010.42, 1,395.18 and 656.51

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Solution

The fourth proportional to 1,010.42, 1,395.18 and 656.51 is: 906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.42 : 1,395.18 = 656.51 : x
  2. Step 2: Convert to fraction form
    1,010.42/1,395.18 = 656.51/x
  3. Step 3: Cross multiply
    1,010.42x = 1,395.18 × 656.51
  4. Step 4: Simplify right side
    1,010.42x = 915,953.11
  5. Step 5: Solve for x
    x = 915,953.11/1,010.42
  6. Step 6: Final answer
    x = 906.51

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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.