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Finding the Fourth Proportional to 904.57, 1,248.30 and 511.58

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Solution

The fourth proportional to 904.57, 1,248.30 and 511.58 is: 705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.57 : 1,248.30 = 511.58 : x
  2. Step 2: Convert to fraction form
    904.57/1,248.30 = 511.58/x
  3. Step 3: Cross multiply
    904.57x = 1,248.30 × 511.58
  4. Step 4: Simplify right side
    904.57x = 638,605.31
  5. Step 5: Solve for x
    x = 638,605.31/904.57
  6. Step 6: Final answer
    x = 705.98

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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.