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Finding the Fourth Proportional to 1,045.95, 1,570.31 and 607.61

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Solution

The fourth proportional to 1,045.95, 1,570.31 and 607.61 is: 912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,570.31 = 607.61 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,570.31 = 607.61/x
  3. Step 3: Cross multiply
    1,045.95x = 1,570.31 × 607.61
  4. Step 4: Simplify right side
    1,045.95x = 954,125.17
  5. Step 5: Solve for x
    x = 954,125.17/1,045.95
  6. Step 6: Final answer
    x = 912.21

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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.