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Finding the Fourth Proportional to 857.84, 1,184.68 and 592.98

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Solution

The fourth proportional to 857.84, 1,184.68 and 592.98 is: 818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,184.68 = 592.98 : x
  2. Step 2: Convert to fraction form
    857.84/1,184.68 = 592.98/x
  3. Step 3: Cross multiply
    857.84x = 1,184.68 × 592.98
  4. Step 4: Simplify right side
    857.84x = 702,491.55
  5. Step 5: Solve for x
    x = 702,491.55/857.84
  6. Step 6: Final answer
    x = 818.91

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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.