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Finding the Fourth Proportional to 1,070.39, 1,605.72 and 339.98

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Solution

The fourth proportional to 1,070.39, 1,605.72 and 339.98 is: 510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.39 : 1,605.72 = 339.98 : x
  2. Step 2: Convert to fraction form
    1,070.39/1,605.72 = 339.98/x
  3. Step 3: Cross multiply
    1,070.39x = 1,605.72 × 339.98
  4. Step 4: Simplify right side
    1,070.39x = 545,904.66
  5. Step 5: Solve for x
    x = 545,904.66/1,070.39
  6. Step 6: Final answer
    x = 510.01

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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.