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Finding the Fourth Proportional to 779,713, 1,076,205.54 and 508,457.32

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Solution

The fourth proportional to 779,713, 1,076,205.54 and 508,457.32 is: 701,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,713 : 1,076,205.54 = 508,457.32 : x
  2. Step 2: Convert to fraction form
    779,713/1,076,205.54 = 508,457.32/x
  3. Step 3: Cross multiply
    779,713x = 1,076,205.54 × 508,457.32
  4. Step 4: Simplify right side
    779,713x = 547,204,584,637.55
  5. Step 5: Solve for x
    x = 547,204,584,637.55/779,713
  6. Step 6: Final answer
    x = 701,802.57

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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.