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Finding the Fourth Proportional to 916.69, 1,265.40 and 585.40

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Solution

The fourth proportional to 916.69, 1,265.40 and 585.40 is: 808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.69 : 1,265.40 = 585.40 : x
  2. Step 2: Convert to fraction form
    916.69/1,265.40 = 585.40/x
  3. Step 3: Cross multiply
    916.69x = 1,265.40 × 585.40
  4. Step 4: Simplify right side
    916.69x = 740,765.16
  5. Step 5: Solve for x
    x = 740,765.16/916.69
  6. Step 6: Final answer
    x = 808.09

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Double scale
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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.