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Finding the Fourth Proportional to 1,053.83, 1,454.19 and 581.65

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Solution

The fourth proportional to 1,053.83, 1,454.19 and 581.65 is: 802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.83 : 1,454.19 = 581.65 : x
  2. Step 2: Convert to fraction form
    1,053.83/1,454.19 = 581.65/x
  3. Step 3: Cross multiply
    1,053.83x = 1,454.19 × 581.65
  4. Step 4: Simplify right side
    1,053.83x = 845,829.61
  5. Step 5: Solve for x
    x = 845,829.61/1,053.83
  6. Step 6: Final answer
    x = 802.62

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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.