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Finding the Fourth Proportional to 1,010.38, 1,393.40 and 655.93

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Solution

The fourth proportional to 1,010.38, 1,393.40 and 655.93 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.38 : 1,393.40 = 655.93 : x
  2. Step 2: Convert to fraction form
    1,010.38/1,393.40 = 655.93/x
  3. Step 3: Cross multiply
    1,010.38x = 1,393.40 × 655.93
  4. Step 4: Simplify right side
    1,010.38x = 913,966.10
  5. Step 5: Solve for x
    x = 913,966.10/1,010.38
  6. Step 6: Final answer
    x = 904.58

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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.