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Finding the Fourth Proportional to 678.02, 935.06 and 530.42

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Solution

The fourth proportional to 678.02, 935.06 and 530.42 is: 731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.02 : 935.06 = 530.42 : x
  2. Step 2: Convert to fraction form
    678.02/935.06 = 530.42/x
  3. Step 3: Cross multiply
    678.02x = 935.06 × 530.42
  4. Step 4: Simplify right side
    678.02x = 495,967.20
  5. Step 5: Solve for x
    x = 495,967.20/678.02
  6. Step 6: Final answer
    x = 731.50

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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.