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Finding the Fourth Proportional to 1,045.95, 1,442.83 and 652.69

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Solution

The fourth proportional to 1,045.95, 1,442.83 and 652.69 is: 900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.95 : 1,442.83 = 652.69 : x
  2. Step 2: Convert to fraction form
    1,045.95/1,442.83 = 652.69/x
  3. Step 3: Cross multiply
    1,045.95x = 1,442.83 × 652.69
  4. Step 4: Simplify right side
    1,045.95x = 941,720.71
  5. Step 5: Solve for x
    x = 941,720.71/1,045.95
  6. Step 6: Final answer
    x = 900.35

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Double scale
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1.5x scale

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.