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Finding the Fourth Proportional to 620.16, 924.48 and 592.80

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Solution

The fourth proportional to 620.16, 924.48 and 592.80 is: 883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.16 : 924.48 = 592.80 : x
  2. Step 2: Convert to fraction form
    620.16/924.48 = 592.80/x
  3. Step 3: Cross multiply
    620.16x = 924.48 × 592.80
  4. Step 4: Simplify right side
    620.16x = 548,031.74
  5. Step 5: Solve for x
    x = 548,031.74/620.16
  6. Step 6: Final answer
    x = 883.69

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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.