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Finding the Fourth Proportional to 615.84, 918.72 and 538.08

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Solution

The fourth proportional to 615.84, 918.72 and 538.08 is: 802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 918.72 = 538.08 : x
  2. Step 2: Convert to fraction form
    615.84/918.72 = 538.08/x
  3. Step 3: Cross multiply
    615.84x = 918.72 × 538.08
  4. Step 4: Simplify right side
    615.84x = 494,344.86
  5. Step 5: Solve for x
    x = 494,344.86/615.84
  6. Step 6: Final answer
    x = 802.72

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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.