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Finding the Fourth Proportional to 1,010.64, 1,394.71 and 590.93

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Solution

The fourth proportional to 1,010.64, 1,394.71 and 590.93 is: 815.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.64 : 1,394.71 = 590.93 : x
  2. Step 2: Convert to fraction form
    1,010.64/1,394.71 = 590.93/x
  3. Step 3: Cross multiply
    1,010.64x = 1,394.71 × 590.93
  4. Step 4: Simplify right side
    1,010.64x = 824,172.76
  5. Step 5: Solve for x
    x = 824,172.76/1,010.64
  6. Step 6: Final answer
    x = 815.49

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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.