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Finding the Fourth Proportional to 1,070.76, 1,477.38 and 605.01

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Solution

The fourth proportional to 1,070.76, 1,477.38 and 605.01 is: 834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.76 : 1,477.38 = 605.01 : x
  2. Step 2: Convert to fraction form
    1,070.76/1,477.38 = 605.01/x
  3. Step 3: Cross multiply
    1,070.76x = 1,477.38 × 605.01
  4. Step 4: Simplify right side
    1,070.76x = 893,829.67
  5. Step 5: Solve for x
    x = 893,829.67/1,070.76
  6. Step 6: Final answer
    x = 834.76

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Double scale
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1.5x scale

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.