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Finding the Fourth Proportional to 1,070.50, 1,477.56 and 605.02

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Solution

The fourth proportional to 1,070.50, 1,477.56 and 605.02 is: 835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.50 : 1,477.56 = 605.02 : x
  2. Step 2: Convert to fraction form
    1,070.50/1,477.56 = 605.02/x
  3. Step 3: Cross multiply
    1,070.50x = 1,477.56 × 605.02
  4. Step 4: Simplify right side
    1,070.50x = 893,953.35
  5. Step 5: Solve for x
    x = 893,953.35/1,070.50
  6. Step 6: Final answer
    x = 835.08

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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.