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Finding the Fourth Proportional to 1,053.74, 1,580.62 and 477.02

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Solution

The fourth proportional to 1,053.74, 1,580.62 and 477.02 is: 715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.74 : 1,580.62 = 477.02 : x
  2. Step 2: Convert to fraction form
    1,053.74/1,580.62 = 477.02/x
  3. Step 3: Cross multiply
    1,053.74x = 1,580.62 × 477.02
  4. Step 4: Simplify right side
    1,053.74x = 753,987.35
  5. Step 5: Solve for x
    x = 753,987.35/1,053.74
  6. Step 6: Final answer
    x = 715.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.