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Finding the Fourth Proportional to 1,046.93, 1,570.38 and 256.30

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Solution

The fourth proportional to 1,046.93, 1,570.38 and 256.30 is: 384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.93 : 1,570.38 = 256.30 : x
  2. Step 2: Convert to fraction form
    1,046.93/1,570.38 = 256.30/x
  3. Step 3: Cross multiply
    1,046.93x = 1,570.38 × 256.30
  4. Step 4: Simplify right side
    1,046.93x = 402,488.39
  5. Step 5: Solve for x
    x = 402,488.39/1,046.93
  6. Step 6: Final answer
    x = 384.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.