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Finding the Fourth Proportional to 1,030.19, 1,543.93 and 897.75

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Solution

The fourth proportional to 1,030.19, 1,543.93 and 897.75 is: 1,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.19 : 1,543.93 = 897.75 : x
  2. Step 2: Convert to fraction form
    1,030.19/1,543.93 = 897.75/x
  3. Step 3: Cross multiply
    1,030.19x = 1,543.93 × 897.75
  4. Step 4: Simplify right side
    1,030.19x = 1,386,060.91
  5. Step 5: Solve for x
    x = 1,386,060.91/1,030.19
  6. Step 6: Final answer
    x = 1,345.45

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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.