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Finding the Fourth Proportional to 555.48, 765.72 and 368.64

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Solution

The fourth proportional to 555.48, 765.72 and 368.64 is: 508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.48 : 765.72 = 368.64 : x
  2. Step 2: Convert to fraction form
    555.48/765.72 = 368.64/x
  3. Step 3: Cross multiply
    555.48x = 765.72 × 368.64
  4. Step 4: Simplify right side
    555.48x = 282,275.02
  5. Step 5: Solve for x
    x = 282,275.02/555.48
  6. Step 6: Final answer
    x = 508.16

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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.