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Finding the Fourth Proportional to 577.76, 870.81 and 497.57

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Solution

The fourth proportional to 577.76, 870.81 and 497.57 is: 749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 870.81 = 497.57 : x
  2. Step 2: Convert to fraction form
    577.76/870.81 = 497.57/x
  3. Step 3: Cross multiply
    577.76x = 870.81 × 497.57
  4. Step 4: Simplify right side
    577.76x = 433,282.71
  5. Step 5: Solve for x
    x = 433,282.71/577.76
  6. Step 6: Final answer
    x = 749.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.