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Finding the Fourth Proportional to 895.61, 1,235.93 and 564.12

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Solution

The fourth proportional to 895.61, 1,235.93 and 564.12 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.61 : 1,235.93 = 564.12 : x
  2. Step 2: Convert to fraction form
    895.61/1,235.93 = 564.12/x
  3. Step 3: Cross multiply
    895.61x = 1,235.93 × 564.12
  4. Step 4: Simplify right side
    895.61x = 697,210.01
  5. Step 5: Solve for x
    x = 697,210.01/895.61
  6. Step 6: Final answer
    x = 778.47

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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.