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Finding the Fourth Proportional to 895.40, 1,235.64 and 497.08

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Solution

The fourth proportional to 895.40, 1,235.64 and 497.08 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.40 : 1,235.64 = 497.08 : x
  2. Step 2: Convert to fraction form
    895.40/1,235.64 = 497.08/x
  3. Step 3: Cross multiply
    895.40x = 1,235.64 × 497.08
  4. Step 4: Simplify right side
    895.40x = 614,211.93
  5. Step 5: Solve for x
    x = 614,211.93/895.40
  6. Step 6: Final answer
    x = 685.96

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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.