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Finding the Fourth Proportional to 1,045.98, 1,569.51 and 558.99

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Solution

The fourth proportional to 1,045.98, 1,569.51 and 558.99 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.98 : 1,569.51 = 558.99 : x
  2. Step 2: Convert to fraction form
    1,045.98/1,569.51 = 558.99/x
  3. Step 3: Cross multiply
    1,045.98x = 1,569.51 × 558.99
  4. Step 4: Simplify right side
    1,045.98x = 877,340.39
  5. Step 5: Solve for x
    x = 877,340.39/1,045.98
  6. Step 6: Final answer
    x = 838.77

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1.5x scale

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.