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Finding the Fourth Proportional to 841.83, 1,160.98 and 509.69

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Solution

The fourth proportional to 841.83, 1,160.98 and 509.69 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.83 : 1,160.98 = 509.69 : x
  2. Step 2: Convert to fraction form
    841.83/1,160.98 = 509.69/x
  3. Step 3: Cross multiply
    841.83x = 1,160.98 × 509.69
  4. Step 4: Simplify right side
    841.83x = 591,732.82
  5. Step 5: Solve for x
    x = 591,732.82/841.83
  6. Step 6: Final answer
    x = 702.91

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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.