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Finding the Fourth Proportional to 765.60, 1,056.54 and 500.21

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Solution

The fourth proportional to 765.60, 1,056.54 and 500.21 is: 690.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.60 : 1,056.54 = 500.21 : x
  2. Step 2: Convert to fraction form
    765.60/1,056.54 = 500.21/x
  3. Step 3: Cross multiply
    765.60x = 1,056.54 × 500.21
  4. Step 4: Simplify right side
    765.60x = 528,494.51
  5. Step 5: Solve for x
    x = 528,494.51/765.60
  6. Step 6: Final answer
    x = 690.30

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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.