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Finding the Fourth Proportional to 1,152.83, 1,720.95 and 1,070.82

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Solution

The fourth proportional to 1,152.83, 1,720.95 and 1,070.82 is: 1,598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.83 : 1,720.95 = 1,070.82 : x
  2. Step 2: Convert to fraction form
    1,152.83/1,720.95 = 1,070.82/x
  3. Step 3: Cross multiply
    1,152.83x = 1,720.95 × 1,070.82
  4. Step 4: Simplify right side
    1,152.83x = 1,842,823.66
  5. Step 5: Solve for x
    x = 1,842,823.66/1,152.83
  6. Step 6: Final answer
    x = 1,598.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.